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Finding the Third Proportional to 175,972.50 and 371,314.13

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Solution

The third proportional to 175,972.50 and 371,314.13 is: 783,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,972.50 : 371,314.13 = 371,314.13 : x
  2. Step 2: Convert to fraction form
    175,972.50/371,314.13 = 371,314.13/x
  3. Step 3: Cross multiply
    175,972.50x = 371,314.13 × 371,314.13
  4. Step 4: Simplify right side
    175,972.50x = 137,874,179,424.52
  5. Step 5: Solve for x
    x = 137,874,179,424.52/175,972.50
  6. Step 6: Final answer
    x = 783,498.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.