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Finding the Third Proportional to 131,824 and 204,292

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Solution

The third proportional to 131,824 and 204,292 is: 316,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,824 : 204,292 = 204,292 : x
  2. Step 2: Convert to fraction form
    131,824/204,292 = 204,292/x
  3. Step 3: Cross multiply
    131,824x = 204,292 × 204,292
  4. Step 4: Simplify right side
    131,824x = 41,735,221,264
  5. Step 5: Solve for x
    x = 41,735,221,264/131,824
  6. Step 6: Final answer
    x = 316,598.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.