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Finding the Third Proportional to 187,513.31 and 404,346.94

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Solution

The third proportional to 187,513.31 and 404,346.94 is: 871,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,513.31 : 404,346.94 = 404,346.94 : x
  2. Step 2: Convert to fraction form
    187,513.31/404,346.94 = 404,346.94/x
  3. Step 3: Cross multiply
    187,513.31x = 404,346.94 × 404,346.94
  4. Step 4: Simplify right side
    187,513.31x = 163,496,445,865.63
  5. Step 5: Solve for x
    x = 163,496,445,865.63/187,513.31
  6. Step 6: Final answer
    x = 871,919.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.