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Finding the Third Proportional to 113,863 and 247,411

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Solution

The third proportional to 113,863 and 247,411 is: 537,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,863 : 247,411 = 247,411 : x
  2. Step 2: Convert to fraction form
    113,863/247,411 = 247,411/x
  3. Step 3: Cross multiply
    113,863x = 247,411 × 247,411
  4. Step 4: Simplify right side
    113,863x = 61,212,202,921
  5. Step 5: Solve for x
    x = 61,212,202,921/113,863
  6. Step 6: Final answer
    x = 537,595.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.