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Finding the Third Proportional to 207,011 and 292,980

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Solution

The third proportional to 207,011 and 292,980 is: 414,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,011 : 292,980 = 292,980 : x
  2. Step 2: Convert to fraction form
    207,011/292,980 = 292,980/x
  3. Step 3: Cross multiply
    207,011x = 292,980 × 292,980
  4. Step 4: Simplify right side
    207,011x = 85,837,280,400
  5. Step 5: Solve for x
    x = 85,837,280,400/207,011
  6. Step 6: Final answer
    x = 414,650.82

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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.