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Finding the Third Proportional to 138,187 and 292,981.50

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Solution

The third proportional to 138,187 and 292,981.50 is: 621,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,187 : 292,981.50 = 292,981.50 : x
  2. Step 2: Convert to fraction form
    138,187/292,981.50 = 292,981.50/x
  3. Step 3: Cross multiply
    138,187x = 292,981.50 × 292,981.50
  4. Step 4: Simplify right side
    138,187x = 85,838,159,342.25
  5. Step 5: Solve for x
    x = 85,838,159,342.25/138,187
  6. Step 6: Final answer
    x = 621,173.91

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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.