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Finding the Third Proportional to 177,541.88 and 249,726.38

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Solution

The third proportional to 177,541.88 and 249,726.38 is: 351,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,541.88 : 249,726.38 = 249,726.38 : x
  2. Step 2: Convert to fraction form
    177,541.88/249,726.38 = 249,726.38/x
  3. Step 3: Cross multiply
    177,541.88x = 249,726.38 × 249,726.38
  4. Step 4: Simplify right side
    177,541.88x = 62,363,262,370.64
  5. Step 5: Solve for x
    x = 62,363,262,370.64/177,541.88
  6. Step 6: Final answer
    x = 351,259.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.