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Finding the Third Proportional to 131,805 and 310,766

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Solution

The third proportional to 131,805 and 310,766 is: 732,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,805 : 310,766 = 310,766 : x
  2. Step 2: Convert to fraction form
    131,805/310,766 = 310,766/x
  3. Step 3: Cross multiply
    131,805x = 310,766 × 310,766
  4. Step 4: Simplify right side
    131,805x = 96,575,506,756
  5. Step 5: Solve for x
    x = 96,575,506,756/131,805
  6. Step 6: Final answer
    x = 732,715.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.