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Finding the Third Proportional to 113,579 and 234,442

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Solution

The third proportional to 113,579 and 234,442 is: 483,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,579 : 234,442 = 234,442 : x
  2. Step 2: Convert to fraction form
    113,579/234,442 = 234,442/x
  3. Step 3: Cross multiply
    113,579x = 234,442 × 234,442
  4. Step 4: Simplify right side
    113,579x = 54,963,051,364
  5. Step 5: Solve for x
    x = 54,963,051,364/113,579
  6. Step 6: Final answer
    x = 483,919.13

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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.