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Finding the Third Proportional to 113,468 and 241,840

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Solution

The third proportional to 113,468 and 241,840 is: 515,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,468 : 241,840 = 241,840 : x
  2. Step 2: Convert to fraction form
    113,468/241,840 = 241,840/x
  3. Step 3: Cross multiply
    113,468x = 241,840 × 241,840
  4. Step 4: Simplify right side
    113,468x = 58,486,585,600
  5. Step 5: Solve for x
    x = 58,486,585,600/113,468
  6. Step 6: Final answer
    x = 515,445.64

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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.