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Finding the Third Proportional to 177,524.25 and 249,699

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Solution

The third proportional to 177,524.25 and 249,699 is: 351,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,524.25 : 249,699 = 249,699 : x
  2. Step 2: Convert to fraction form
    177,524.25/249,699 = 249,699/x
  3. Step 3: Cross multiply
    177,524.25x = 249,699 × 249,699
  4. Step 4: Simplify right side
    177,524.25x = 62,349,590,601
  5. Step 5: Solve for x
    x = 62,349,590,601/177,524.25
  6. Step 6: Final answer
    x = 351,217.32

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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.