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Finding the Third Proportional to 193,060.13 and 292,084.13

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Solution

The third proportional to 193,060.13 and 292,084.13 is: 441,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,060.13 : 292,084.13 = 292,084.13 : x
  2. Step 2: Convert to fraction form
    193,060.13/292,084.13 = 292,084.13/x
  3. Step 3: Cross multiply
    193,060.13x = 292,084.13 × 292,084.13
  4. Step 4: Simplify right side
    193,060.13x = 85,313,136,077.02
  5. Step 5: Solve for x
    x = 85,313,136,077.02/193,060.13
  6. Step 6: Final answer
    x = 441,899.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.