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Finding the Third Proportional to 207,320 and 320,142

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Solution

The third proportional to 207,320 and 320,142 is: 494,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,320 : 320,142 = 320,142 : x
  2. Step 2: Convert to fraction form
    207,320/320,142 = 320,142/x
  3. Step 3: Cross multiply
    207,320x = 320,142 × 320,142
  4. Step 4: Simplify right side
    207,320x = 102,490,900,164
  5. Step 5: Solve for x
    x = 102,490,900,164/207,320
  6. Step 6: Final answer
    x = 494,360.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.