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Finding the Third Proportional to 155,666 and 237,387

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Solution

The third proportional to 155,666 and 237,387 is: 362,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,666 : 237,387 = 237,387 : x
  2. Step 2: Convert to fraction form
    155,666/237,387 = 237,387/x
  3. Step 3: Cross multiply
    155,666x = 237,387 × 237,387
  4. Step 4: Simplify right side
    155,666x = 56,352,587,769
  5. Step 5: Solve for x
    x = 56,352,587,769/155,666
  6. Step 6: Final answer
    x = 362,009.61

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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.