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Finding the Third Proportional to 138,130.88 and 297,515.81

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Solution

The third proportional to 138,130.88 and 297,515.81 is: 640,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,130.88 : 297,515.81 = 297,515.81 : x
  2. Step 2: Convert to fraction form
    138,130.88/297,515.81 = 297,515.81/x
  3. Step 3: Cross multiply
    138,130.88x = 297,515.81 × 297,515.81
  4. Step 4: Simplify right side
    138,130.88x = 88,515,658,687.54
  5. Step 5: Solve for x
    x = 88,515,658,687.54/138,130.88
  6. Step 6: Final answer
    x = 640,810.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.