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Finding the Third Proportional to 113,577 and 234,438

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Solution

The third proportional to 113,577 and 234,438 is: 483,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,577 : 234,438 = 234,438 : x
  2. Step 2: Convert to fraction form
    113,577/234,438 = 234,438/x
  3. Step 3: Cross multiply
    113,577x = 234,438 × 234,438
  4. Step 4: Simplify right side
    113,577x = 54,961,175,844
  5. Step 5: Solve for x
    x = 54,961,175,844/113,577
  6. Step 6: Final answer
    x = 483,911.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.