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Finding the Third Proportional to 131,835 and 204,306

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Solution

The third proportional to 131,835 and 204,306 is: 316,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,835 : 204,306 = 204,306 : x
  2. Step 2: Convert to fraction form
    131,835/204,306 = 204,306/x
  3. Step 3: Cross multiply
    131,835x = 204,306 × 204,306
  4. Step 4: Simplify right side
    131,835x = 41,740,941,636
  5. Step 5: Solve for x
    x = 41,740,941,636/131,835
  6. Step 6: Final answer
    x = 316,615.02

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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.