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Finding the Third Proportional to 111,413 and 243,879

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Solution

The third proportional to 111,413 and 243,879 is: 533,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,413 : 243,879 = 243,879 : x
  2. Step 2: Convert to fraction form
    111,413/243,879 = 243,879/x
  3. Step 3: Cross multiply
    111,413x = 243,879 × 243,879
  4. Step 4: Simplify right side
    111,413x = 59,476,966,641
  5. Step 5: Solve for x
    x = 59,476,966,641/111,413
  6. Step 6: Final answer
    x = 533,842.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.