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Finding the Third Proportional to 166,748 and 249,663

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Solution

The third proportional to 166,748 and 249,663 is: 373,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,748 : 249,663 = 249,663 : x
  2. Step 2: Convert to fraction form
    166,748/249,663 = 249,663/x
  3. Step 3: Cross multiply
    166,748x = 249,663 × 249,663
  4. Step 4: Simplify right side
    166,748x = 62,331,613,569
  5. Step 5: Solve for x
    x = 62,331,613,569/166,748
  6. Step 6: Final answer
    x = 373,807.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.