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Finding the Third Proportional to 220,132 and 341,726

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Solution

The third proportional to 220,132 and 341,726 is: 530,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,132 : 341,726 = 341,726 : x
  2. Step 2: Convert to fraction form
    220,132/341,726 = 341,726/x
  3. Step 3: Cross multiply
    220,132x = 341,726 × 341,726
  4. Step 4: Simplify right side
    220,132x = 116,776,659,076
  5. Step 5: Solve for x
    x = 116,776,659,076/220,132
  6. Step 6: Final answer
    x = 530,484.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.