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Finding the Third Proportional to 170,022 and 249,849

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Solution

The third proportional to 170,022 and 249,849 is: 367,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,022 : 249,849 = 249,849 : x
  2. Step 2: Convert to fraction form
    170,022/249,849 = 249,849/x
  3. Step 3: Cross multiply
    170,022x = 249,849 × 249,849
  4. Step 4: Simplify right side
    170,022x = 62,424,522,801
  5. Step 5: Solve for x
    x = 62,424,522,801/170,022
  6. Step 6: Final answer
    x = 367,155.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.