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Finding the Third Proportional to 162,948 and 347,424

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Solution

The third proportional to 162,948 and 347,424 is: 740,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,948 : 347,424 = 347,424 : x
  2. Step 2: Convert to fraction form
    162,948/347,424 = 347,424/x
  3. Step 3: Cross multiply
    162,948x = 347,424 × 347,424
  4. Step 4: Simplify right side
    162,948x = 120,703,435,776
  5. Step 5: Solve for x
    x = 120,703,435,776/162,948
  6. Step 6: Final answer
    x = 740,748.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.