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Finding the Third Proportional to 177,615.75 and 338,862.75

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Solution

The third proportional to 177,615.75 and 338,862.75 is: 646,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,615.75 : 338,862.75 = 338,862.75 : x
  2. Step 2: Convert to fraction form
    177,615.75/338,862.75 = 338,862.75/x
  3. Step 3: Cross multiply
    177,615.75x = 338,862.75 × 338,862.75
  4. Step 4: Simplify right side
    177,615.75x = 114,827,963,337.56
  5. Step 5: Solve for x
    x = 114,827,963,337.56/177,615.75
  6. Step 6: Final answer
    x = 646,496.51

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.