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Finding the Third Proportional to 70,674 and 154,292

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Solution

The third proportional to 70,674 and 154,292 is: 336,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,674 : 154,292 = 154,292 : x
  2. Step 2: Convert to fraction form
    70,674/154,292 = 154,292/x
  3. Step 3: Cross multiply
    70,674x = 154,292 × 154,292
  4. Step 4: Simplify right side
    70,674x = 23,806,021,264
  5. Step 5: Solve for x
    x = 23,806,021,264/70,674
  6. Step 6: Final answer
    x = 336,842.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.