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Finding the Third Proportional to 161,460 and 353,577

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Solution

The third proportional to 161,460 and 353,577 is: 774,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,460 : 353,577 = 353,577 : x
  2. Step 2: Convert to fraction form
    161,460/353,577 = 353,577/x
  3. Step 3: Cross multiply
    161,460x = 353,577 × 353,577
  4. Step 4: Simplify right side
    161,460x = 125,016,694,929
  5. Step 5: Solve for x
    x = 125,016,694,929/161,460
  6. Step 6: Final answer
    x = 774,288.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.