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Finding the Third Proportional to 113,409 and 241,154

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Solution

The third proportional to 113,409 and 241,154 is: 512,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,409 : 241,154 = 241,154 : x
  2. Step 2: Convert to fraction form
    113,409/241,154 = 241,154/x
  3. Step 3: Cross multiply
    113,409x = 241,154 × 241,154
  4. Step 4: Simplify right side
    113,409x = 58,155,251,716
  5. Step 5: Solve for x
    x = 58,155,251,716/113,409
  6. Step 6: Final answer
    x = 512,792.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.