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Finding the Third Proportional to 155,773.13 and 233,398.13

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Solution

The third proportional to 155,773.13 and 233,398.13 is: 349,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,773.13 : 233,398.13 = 233,398.13 : x
  2. Step 2: Convert to fraction form
    155,773.13/233,398.13 = 233,398.13/x
  3. Step 3: Cross multiply
    155,773.13x = 233,398.13 × 233,398.13
  4. Step 4: Simplify right side
    155,773.13x = 54,474,684,753.52
  5. Step 5: Solve for x
    x = 54,474,684,753.52/155,773.13
  6. Step 6: Final answer
    x = 349,705.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.