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Finding the Third Proportional to 213,466 and 334,849

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Solution

The third proportional to 213,466 and 334,849 is: 525,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,466 : 334,849 = 334,849 : x
  2. Step 2: Convert to fraction form
    213,466/334,849 = 334,849/x
  3. Step 3: Cross multiply
    213,466x = 334,849 × 334,849
  4. Step 4: Simplify right side
    213,466x = 112,123,852,801
  5. Step 5: Solve for x
    x = 112,123,852,801/213,466
  6. Step 6: Final answer
    x = 525,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.