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Finding the Third Proportional to 161,874 and 245,088

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Solution

The third proportional to 161,874 and 245,088 is: 371,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,874 : 245,088 = 245,088 : x
  2. Step 2: Convert to fraction form
    161,874/245,088 = 245,088/x
  3. Step 3: Cross multiply
    161,874x = 245,088 × 245,088
  4. Step 4: Simplify right side
    161,874x = 60,068,127,744
  5. Step 5: Solve for x
    x = 60,068,127,744/161,874
  6. Step 6: Final answer
    x = 371,079.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.