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Finding the Third Proportional to 170,832 and 249,663

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Solution

The third proportional to 170,832 and 249,663 is: 364,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,832 : 249,663 = 249,663 : x
  2. Step 2: Convert to fraction form
    170,832/249,663 = 249,663/x
  3. Step 3: Cross multiply
    170,832x = 249,663 × 249,663
  4. Step 4: Simplify right side
    170,832x = 62,331,613,569
  5. Step 5: Solve for x
    x = 62,331,613,569/170,832
  6. Step 6: Final answer
    x = 364,870.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.