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Finding the Third Proportional to 176,294 and 268,569

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Solution

The third proportional to 176,294 and 268,569 is: 409,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,294 : 268,569 = 268,569 : x
  2. Step 2: Convert to fraction form
    176,294/268,569 = 268,569/x
  3. Step 3: Cross multiply
    176,294x = 268,569 × 268,569
  4. Step 4: Simplify right side
    176,294x = 72,129,307,761
  5. Step 5: Solve for x
    x = 72,129,307,761/176,294
  6. Step 6: Final answer
    x = 409,142.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.