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Finding the Third Proportional to 177,549.75 and 249,736.50

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Solution

The third proportional to 177,549.75 and 249,736.50 is: 351,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,549.75 : 249,736.50 = 249,736.50 : x
  2. Step 2: Convert to fraction form
    177,549.75/249,736.50 = 249,736.50/x
  3. Step 3: Cross multiply
    177,549.75x = 249,736.50 × 249,736.50
  4. Step 4: Simplify right side
    177,549.75x = 62,368,319,432.25
  5. Step 5: Solve for x
    x = 62,368,319,432.25/177,549.75
  6. Step 6: Final answer
    x = 351,272.36

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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.