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Finding the Third Proportional to 242,925.75 and 532,500.75

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Solution

The third proportional to 242,925.75 and 532,500.75 is: 1,167,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,925.75 : 532,500.75 = 532,500.75 : x
  2. Step 2: Convert to fraction form
    242,925.75/532,500.75 = 532,500.75/x
  3. Step 3: Cross multiply
    242,925.75x = 532,500.75 × 532,500.75
  4. Step 4: Simplify right side
    242,925.75x = 283,557,048,750.56
  5. Step 5: Solve for x
    x = 283,557,048,750.56/242,925.75
  6. Step 6: Final answer
    x = 1,167,258.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.