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Finding the Third Proportional to 133,018.50 and 291,882

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Solution

The third proportional to 133,018.50 and 291,882 is: 640,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,018.50 : 291,882 = 291,882 : x
  2. Step 2: Convert to fraction form
    133,018.50/291,882 = 291,882/x
  3. Step 3: Cross multiply
    133,018.50x = 291,882 × 291,882
  4. Step 4: Simplify right side
    133,018.50x = 85,195,101,924
  5. Step 5: Solve for x
    x = 85,195,101,924/133,018.50
  6. Step 6: Final answer
    x = 640,475.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.