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Finding the Third Proportional to 207,013 and 292,983

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Solution

The third proportional to 207,013 and 292,983 is: 414,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,013 : 292,983 = 292,983 : x
  2. Step 2: Convert to fraction form
    207,013/292,983 = 292,983/x
  3. Step 3: Cross multiply
    207,013x = 292,983 × 292,983
  4. Step 4: Simplify right side
    207,013x = 85,839,038,289
  5. Step 5: Solve for x
    x = 85,839,038,289/207,013
  6. Step 6: Final answer
    x = 414,655.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.