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Finding the Third Proportional to 177,551 and 249,740

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Solution

The third proportional to 177,551 and 249,740 is: 351,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,551 : 249,740 = 249,740 : x
  2. Step 2: Convert to fraction form
    177,551/249,740 = 249,740/x
  3. Step 3: Cross multiply
    177,551x = 249,740 × 249,740
  4. Step 4: Simplify right side
    177,551x = 62,370,067,600
  5. Step 5: Solve for x
    x = 62,370,067,600/177,551
  6. Step 6: Final answer
    x = 351,279.73

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