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Finding the Third Proportional to 161,582 and 348,974

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Solution

The third proportional to 161,582 and 348,974 is: 753,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,582 : 348,974 = 348,974 : x
  2. Step 2: Convert to fraction form
    161,582/348,974 = 348,974/x
  3. Step 3: Cross multiply
    161,582x = 348,974 × 348,974
  4. Step 4: Simplify right side
    161,582x = 121,782,852,676
  5. Step 5: Solve for x
    x = 121,782,852,676/161,582
  6. Step 6: Final answer
    x = 753,690.71

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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.