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Finding the Third Proportional to 177,718.50 and 282,502.13

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Solution

The third proportional to 177,718.50 and 282,502.13 is: 449,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,718.50 : 282,502.13 = 282,502.13 : x
  2. Step 2: Convert to fraction form
    177,718.50/282,502.13 = 282,502.13/x
  3. Step 3: Cross multiply
    177,718.50x = 282,502.13 × 282,502.13
  4. Step 4: Simplify right side
    177,718.50x = 79,807,450,629.52
  5. Step 5: Solve for x
    x = 79,807,450,629.52/177,718.50
  6. Step 6: Final answer
    x = 449,066.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.