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Finding the Third Proportional to 165,046.50 and 249,147

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Solution

The third proportional to 165,046.50 and 249,147 is: 376,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,046.50 : 249,147 = 249,147 : x
  2. Step 2: Convert to fraction form
    165,046.50/249,147 = 249,147/x
  3. Step 3: Cross multiply
    165,046.50x = 249,147 × 249,147
  4. Step 4: Simplify right side
    165,046.50x = 62,074,227,609
  5. Step 5: Solve for x
    x = 62,074,227,609/165,046.50
  6. Step 6: Final answer
    x = 376,101.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.