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Finding the Third Proportional to 177,423.75 and 282,457.13

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Solution

The third proportional to 177,423.75 and 282,457.13 is: 449,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,423.75 : 282,457.13 = 282,457.13 : x
  2. Step 2: Convert to fraction form
    177,423.75/282,457.13 = 282,457.13/x
  3. Step 3: Cross multiply
    177,423.75x = 282,457.13 × 282,457.13
  4. Step 4: Simplify right side
    177,423.75x = 79,782,027,463.27
  5. Step 5: Solve for x
    x = 79,782,027,463.27/177,423.75
  6. Step 6: Final answer
    x = 449,669.38

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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.