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Finding the Third Proportional to 176,292 and 268,566

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Solution

The third proportional to 176,292 and 268,566 is: 409,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,292 : 268,566 = 268,566 : x
  2. Step 2: Convert to fraction form
    176,292/268,566 = 268,566/x
  3. Step 3: Cross multiply
    176,292x = 268,566 × 268,566
  4. Step 4: Simplify right side
    176,292x = 72,127,696,356
  5. Step 5: Solve for x
    x = 72,127,696,356/176,292
  6. Step 6: Final answer
    x = 409,137.66

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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.