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Finding the Third Proportional to 148,011 and 319,674

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Solution

The third proportional to 148,011 and 319,674 is: 690,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,011 : 319,674 = 319,674 : x
  2. Step 2: Convert to fraction form
    148,011/319,674 = 319,674/x
  3. Step 3: Cross multiply
    148,011x = 319,674 × 319,674
  4. Step 4: Simplify right side
    148,011x = 102,191,466,276
  5. Step 5: Solve for x
    x = 102,191,466,276/148,011
  6. Step 6: Final answer
    x = 690,431.56

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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.