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Finding the Third Proportional to 137,163 and 293,347.50

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Solution

The third proportional to 137,163 and 293,347.50 is: 627,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,163 : 293,347.50 = 293,347.50 : x
  2. Step 2: Convert to fraction form
    137,163/293,347.50 = 293,347.50/x
  3. Step 3: Cross multiply
    137,163x = 293,347.50 × 293,347.50
  4. Step 4: Simplify right side
    137,163x = 86,052,755,756.25
  5. Step 5: Solve for x
    x = 86,052,755,756.25/137,163
  6. Step 6: Final answer
    x = 627,375.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.