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Finding the Third Proportional to 176,098 and 385,604

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Solution

The third proportional to 176,098 and 385,604 is: 844,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,098 : 385,604 = 385,604 : x
  2. Step 2: Convert to fraction form
    176,098/385,604 = 385,604/x
  3. Step 3: Cross multiply
    176,098x = 385,604 × 385,604
  4. Step 4: Simplify right side
    176,098x = 148,690,444,816
  5. Step 5: Solve for x
    x = 148,690,444,816/176,098
  6. Step 6: Final answer
    x = 844,361.92

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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.