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Finding the Third Proportional to 141,528 and 227,259

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Solution

The third proportional to 141,528 and 227,259 is: 364,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,528 : 227,259 = 227,259 : x
  2. Step 2: Convert to fraction form
    141,528/227,259 = 227,259/x
  3. Step 3: Cross multiply
    141,528x = 227,259 × 227,259
  4. Step 4: Simplify right side
    141,528x = 51,646,653,081
  5. Step 5: Solve for x
    x = 51,646,653,081/141,528
  6. Step 6: Final answer
    x = 364,921.80

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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.