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Finding the Third Proportional to 161,359 and 354,566

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Solution

The third proportional to 161,359 and 354,566 is: 779,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,359 : 354,566 = 354,566 : x
  2. Step 2: Convert to fraction form
    161,359/354,566 = 354,566/x
  3. Step 3: Cross multiply
    161,359x = 354,566 × 354,566
  4. Step 4: Simplify right side
    161,359x = 125,717,048,356
  5. Step 5: Solve for x
    x = 125,717,048,356/161,359
  6. Step 6: Final answer
    x = 779,113.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.