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Finding the Third Proportional to 131,186 and 202,577

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Solution

The third proportional to 131,186 and 202,577 is: 312,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,186 : 202,577 = 202,577 : x
  2. Step 2: Convert to fraction form
    131,186/202,577 = 202,577/x
  3. Step 3: Cross multiply
    131,186x = 202,577 × 202,577
  4. Step 4: Simplify right side
    131,186x = 41,037,440,929
  5. Step 5: Solve for x
    x = 41,037,440,929/131,186
  6. Step 6: Final answer
    x = 312,818.75

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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.