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Finding the Third Proportional to 155,773.13 and 233,399.81

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Solution

The third proportional to 155,773.13 and 233,399.81 is: 349,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,773.13 : 233,399.81 = 233,399.81 : x
  2. Step 2: Convert to fraction form
    155,773.13/233,399.81 = 233,399.81/x
  3. Step 3: Cross multiply
    155,773.13x = 233,399.81 × 233,399.81
  4. Step 4: Simplify right side
    155,773.13x = 54,475,472,475.04
  5. Step 5: Solve for x
    x = 54,475,472,475.04/155,773.13
  6. Step 6: Final answer
    x = 349,710.34

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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.