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Finding the Third Proportional to 155,412 and 338,499

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Solution

The third proportional to 155,412 and 338,499 is: 737,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,412 : 338,499 = 338,499 : x
  2. Step 2: Convert to fraction form
    155,412/338,499 = 338,499/x
  3. Step 3: Cross multiply
    155,412x = 338,499 × 338,499
  4. Step 4: Simplify right side
    155,412x = 114,581,573,001
  5. Step 5: Solve for x
    x = 114,581,573,001/155,412
  6. Step 6: Final answer
    x = 737,276.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.