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Finding the Third Proportional to 177,301.13 and 238,862.25

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Solution

The third proportional to 177,301.13 and 238,862.25 is: 321,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,301.13 : 238,862.25 = 238,862.25 : x
  2. Step 2: Convert to fraction form
    177,301.13/238,862.25 = 238,862.25/x
  3. Step 3: Cross multiply
    177,301.13x = 238,862.25 × 238,862.25
  4. Step 4: Simplify right side
    177,301.13x = 57,055,174,475.06
  5. Step 5: Solve for x
    x = 57,055,174,475.06/177,301.13
  6. Step 6: Final answer
    x = 321,798.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.