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Finding the Third Proportional to 212,418 and 341,862

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Solution

The third proportional to 212,418 and 341,862 is: 550,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,418 : 341,862 = 341,862 : x
  2. Step 2: Convert to fraction form
    212,418/341,862 = 341,862/x
  3. Step 3: Cross multiply
    212,418x = 341,862 × 341,862
  4. Step 4: Simplify right side
    212,418x = 116,869,627,044
  5. Step 5: Solve for x
    x = 116,869,627,044/212,418
  6. Step 6: Final answer
    x = 550,187.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.