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Finding the Third Proportional to 169,518 and 356,492

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Solution

The third proportional to 169,518 and 356,492 is: 749,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,518 : 356,492 = 356,492 : x
  2. Step 2: Convert to fraction form
    169,518/356,492 = 356,492/x
  3. Step 3: Cross multiply
    169,518x = 356,492 × 356,492
  4. Step 4: Simplify right side
    169,518x = 127,086,546,064
  5. Step 5: Solve for x
    x = 127,086,546,064/169,518
  6. Step 6: Final answer
    x = 749,693.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.