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Finding the Third Proportional to 137,647.50 and 304,774.13

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Solution

The third proportional to 137,647.50 and 304,774.13 is: 674,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,647.50 : 304,774.13 = 304,774.13 : x
  2. Step 2: Convert to fraction form
    137,647.50/304,774.13 = 304,774.13/x
  3. Step 3: Cross multiply
    137,647.50x = 304,774.13 × 304,774.13
  4. Step 4: Simplify right side
    137,647.50x = 92,887,267,269.52
  5. Step 5: Solve for x
    x = 92,887,267,269.52/137,647.50
  6. Step 6: Final answer
    x = 674,819.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.