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Finding the Third Proportional to 131,290 and 281,263

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Solution

The third proportional to 131,290 and 281,263 is: 602,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,290 : 281,263 = 281,263 : x
  2. Step 2: Convert to fraction form
    131,290/281,263 = 281,263/x
  3. Step 3: Cross multiply
    131,290x = 281,263 × 281,263
  4. Step 4: Simplify right side
    131,290x = 79,108,875,169
  5. Step 5: Solve for x
    x = 79,108,875,169/131,290
  6. Step 6: Final answer
    x = 602,550.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.