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Finding the Third Proportional to 224,206 and 340,461

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Solution

The third proportional to 224,206 and 340,461 is: 516,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,206 : 340,461 = 340,461 : x
  2. Step 2: Convert to fraction form
    224,206/340,461 = 340,461/x
  3. Step 3: Cross multiply
    224,206x = 340,461 × 340,461
  4. Step 4: Simplify right side
    224,206x = 115,913,692,521
  5. Step 5: Solve for x
    x = 115,913,692,521/224,206
  6. Step 6: Final answer
    x = 516,996.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.