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Finding the Third Proportional to 176,683 and 281,414.50

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Solution

The third proportional to 176,683 and 281,414.50 is: 448,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,683 : 281,414.50 = 281,414.50 : x
  2. Step 2: Convert to fraction form
    176,683/281,414.50 = 281,414.50/x
  3. Step 3: Cross multiply
    176,683x = 281,414.50 × 281,414.50
  4. Step 4: Simplify right side
    176,683x = 79,194,120,810.25
  5. Step 5: Solve for x
    x = 79,194,120,810.25/176,683
  6. Step 6: Final answer
    x = 448,227.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.