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Finding the Third Proportional to 242,925.75 and 357,279.75

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Solution

The third proportional to 242,925.75 and 357,279.75 is: 525,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,925.75 : 357,279.75 = 357,279.75 : x
  2. Step 2: Convert to fraction form
    242,925.75/357,279.75 = 357,279.75/x
  3. Step 3: Cross multiply
    242,925.75x = 357,279.75 × 357,279.75
  4. Step 4: Simplify right side
    242,925.75x = 127,648,819,760.06
  5. Step 5: Solve for x
    x = 127,648,819,760.06/242,925.75
  6. Step 6: Final answer
    x = 525,464.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.