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Finding the Third Proportional to 220,718 and 341,695

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Solution

The third proportional to 220,718 and 341,695 is: 528,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,718 : 341,695 = 341,695 : x
  2. Step 2: Convert to fraction form
    220,718/341,695 = 341,695/x
  3. Step 3: Cross multiply
    220,718x = 341,695 × 341,695
  4. Step 4: Simplify right side
    220,718x = 116,755,473,025
  5. Step 5: Solve for x
    x = 116,755,473,025/220,718
  6. Step 6: Final answer
    x = 528,980.30

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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.