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Finding the Third Proportional to 193,762.13 and 425,715.75

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Solution

The third proportional to 193,762.13 and 425,715.75 is: 935,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,762.13 : 425,715.75 = 425,715.75 : x
  2. Step 2: Convert to fraction form
    193,762.13/425,715.75 = 425,715.75/x
  3. Step 3: Cross multiply
    193,762.13x = 425,715.75 × 425,715.75
  4. Step 4: Simplify right side
    193,762.13x = 181,233,899,798.06
  5. Step 5: Solve for x
    x = 181,233,899,798.06/193,762.13
  6. Step 6: Final answer
    x = 935,342.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.