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Finding the Third Proportional to 176,532.75 and 251,569.13

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Solution

The third proportional to 176,532.75 and 251,569.13 is: 358,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,532.75 : 251,569.13 = 251,569.13 : x
  2. Step 2: Convert to fraction form
    176,532.75/251,569.13 = 251,569.13/x
  3. Step 3: Cross multiply
    176,532.75x = 251,569.13 × 251,569.13
  4. Step 4: Simplify right side
    176,532.75x = 63,287,024,653.27
  5. Step 5: Solve for x
    x = 63,287,024,653.27/176,532.75
  6. Step 6: Final answer
    x = 358,500.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.