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Finding the Third Proportional to 234,920.25 and 357,888.38

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Solution

The third proportional to 234,920.25 and 357,888.38 is: 545,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,920.25 : 357,888.38 = 357,888.38 : x
  2. Step 2: Convert to fraction form
    234,920.25/357,888.38 = 357,888.38/x
  3. Step 3: Cross multiply
    234,920.25x = 357,888.38 × 357,888.38
  4. Step 4: Simplify right side
    234,920.25x = 128,084,088,960.14
  5. Step 5: Solve for x
    x = 128,084,088,960.14/234,920.25
  6. Step 6: Final answer
    x = 545,223.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.