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Finding the Third Proportional to 187,488 and 301,926

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Solution

The third proportional to 187,488 and 301,926 is: 486,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,488 : 301,926 = 301,926 : x
  2. Step 2: Convert to fraction form
    187,488/301,926 = 301,926/x
  3. Step 3: Cross multiply
    187,488x = 301,926 × 301,926
  4. Step 4: Simplify right side
    187,488x = 91,159,309,476
  5. Step 5: Solve for x
    x = 91,159,309,476/187,488
  6. Step 6: Final answer
    x = 486,214.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.