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Finding the Third Proportional to 176,282 and 385,940

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Solution

The third proportional to 176,282 and 385,940 is: 844,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,282 : 385,940 = 385,940 : x
  2. Step 2: Convert to fraction form
    176,282/385,940 = 385,940/x
  3. Step 3: Cross multiply
    176,282x = 385,940 × 385,940
  4. Step 4: Simplify right side
    176,282x = 148,949,683,600
  5. Step 5: Solve for x
    x = 148,949,683,600/176,282
  6. Step 6: Final answer
    x = 844,951.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.