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Finding the Third Proportional to 172,550 and 353,468

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Solution

The third proportional to 172,550 and 353,468 is: 724,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,550 : 353,468 = 353,468 : x
  2. Step 2: Convert to fraction form
    172,550/353,468 = 353,468/x
  3. Step 3: Cross multiply
    172,550x = 353,468 × 353,468
  4. Step 4: Simplify right side
    172,550x = 124,939,627,024
  5. Step 5: Solve for x
    x = 124,939,627,024/172,550
  6. Step 6: Final answer
    x = 724,077.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.