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Finding the Third Proportional to 152,418 and 237,349

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Solution

The third proportional to 152,418 and 237,349 is: 369,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,418 : 237,349 = 237,349 : x
  2. Step 2: Convert to fraction form
    152,418/237,349 = 237,349/x
  3. Step 3: Cross multiply
    152,418x = 237,349 × 237,349
  4. Step 4: Simplify right side
    152,418x = 56,334,547,801
  5. Step 5: Solve for x
    x = 56,334,547,801/152,418
  6. Step 6: Final answer
    x = 369,605.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.