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Finding the Third Proportional to 195,034 and 291,275

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Solution

The third proportional to 195,034 and 291,275 is: 435,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,034 : 291,275 = 291,275 : x
  2. Step 2: Convert to fraction form
    195,034/291,275 = 291,275/x
  3. Step 3: Cross multiply
    195,034x = 291,275 × 291,275
  4. Step 4: Simplify right side
    195,034x = 84,841,125,625
  5. Step 5: Solve for x
    x = 84,841,125,625/195,034
  6. Step 6: Final answer
    x = 435,006.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.