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Finding the Third Proportional to 138,395.25 and 293,314.50

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Solution

The third proportional to 138,395.25 and 293,314.50 is: 621,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,395.25 : 293,314.50 = 293,314.50 : x
  2. Step 2: Convert to fraction form
    138,395.25/293,314.50 = 293,314.50/x
  3. Step 3: Cross multiply
    138,395.25x = 293,314.50 × 293,314.50
  4. Step 4: Simplify right side
    138,395.25x = 86,033,395,910.25
  5. Step 5: Solve for x
    x = 86,033,395,910.25/138,395.25
  6. Step 6: Final answer
    x = 621,649.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.