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Finding the Third Proportional to 207,370 and 292,222

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Solution

The third proportional to 207,370 and 292,222 is: 411,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370 : 292,222 = 292,222 : x
  2. Step 2: Convert to fraction form
    207,370/292,222 = 292,222/x
  3. Step 3: Cross multiply
    207,370x = 292,222 × 292,222
  4. Step 4: Simplify right side
    207,370x = 85,393,697,284
  5. Step 5: Solve for x
    x = 85,393,697,284/207,370
  6. Step 6: Final answer
    x = 411,793.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.