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Finding the Third Proportional to 256,516 and 349,446

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Solution

The third proportional to 256,516 and 349,446 is: 476,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,516 : 349,446 = 349,446 : x
  2. Step 2: Convert to fraction form
    256,516/349,446 = 349,446/x
  3. Step 3: Cross multiply
    256,516x = 349,446 × 349,446
  4. Step 4: Simplify right side
    256,516x = 122,112,506,916
  5. Step 5: Solve for x
    x = 122,112,506,916/256,516
  6. Step 6: Final answer
    x = 476,042.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.