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Finding the Third Proportional to 111,465 and 242,613

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Solution

The third proportional to 111,465 and 242,613 is: 528,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,465 : 242,613 = 242,613 : x
  2. Step 2: Convert to fraction form
    111,465/242,613 = 242,613/x
  3. Step 3: Cross multiply
    111,465x = 242,613 × 242,613
  4. Step 4: Simplify right side
    111,465x = 58,861,067,769
  5. Step 5: Solve for x
    x = 58,861,067,769/111,465
  6. Step 6: Final answer
    x = 528,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.