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Finding the Third Proportional to 167,904 and 249,696

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Solution

The third proportional to 167,904 and 249,696 is: 371,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,904 : 249,696 = 249,696 : x
  2. Step 2: Convert to fraction form
    167,904/249,696 = 249,696/x
  3. Step 3: Cross multiply
    167,904x = 249,696 × 249,696
  4. Step 4: Simplify right side
    167,904x = 62,348,092,416
  5. Step 5: Solve for x
    x = 62,348,092,416/167,904
  6. Step 6: Final answer
    x = 371,331.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.