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Finding the Third Proportional to 172,038 and 404,770

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Solution

The third proportional to 172,038 and 404,770 is: 952,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,038 : 404,770 = 404,770 : x
  2. Step 2: Convert to fraction form
    172,038/404,770 = 404,770/x
  3. Step 3: Cross multiply
    172,038x = 404,770 × 404,770
  4. Step 4: Simplify right side
    172,038x = 163,838,752,900
  5. Step 5: Solve for x
    x = 163,838,752,900/172,038
  6. Step 6: Final answer
    x = 952,340.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.