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Finding the Third Proportional to 172,674 and 372,564

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Solution

The third proportional to 172,674 and 372,564 is: 803,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,674 : 372,564 = 372,564 : x
  2. Step 2: Convert to fraction form
    172,674/372,564 = 372,564/x
  3. Step 3: Cross multiply
    172,674x = 372,564 × 372,564
  4. Step 4: Simplify right side
    172,674x = 138,803,934,096
  5. Step 5: Solve for x
    x = 138,803,934,096/172,674
  6. Step 6: Final answer
    x = 803,849.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.