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Finding the Third Proportional to 172,006 and 404,714

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Solution

The third proportional to 172,006 and 404,714 is: 952,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,006 : 404,714 = 404,714 : x
  2. Step 2: Convert to fraction form
    172,006/404,714 = 404,714/x
  3. Step 3: Cross multiply
    172,006x = 404,714 × 404,714
  4. Step 4: Simplify right side
    172,006x = 163,793,421,796
  5. Step 5: Solve for x
    x = 163,793,421,796/172,006
  6. Step 6: Final answer
    x = 952,254.12

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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.