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Finding the Third Proportional to 242,950 and 532,700

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Solution

The third proportional to 242,950 and 532,700 is: 1,168,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,950 : 532,700 = 532,700 : x
  2. Step 2: Convert to fraction form
    242,950/532,700 = 532,700/x
  3. Step 3: Cross multiply
    242,950x = 532,700 × 532,700
  4. Step 4: Simplify right side
    242,950x = 283,769,290,000
  5. Step 5: Solve for x
    x = 283,769,290,000/242,950
  6. Step 6: Final answer
    x = 1,168,015.19

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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.