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Finding the Third Proportional to 112,449 and 241,572

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Solution

The third proportional to 112,449 and 241,572 is: 518,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,449 : 241,572 = 241,572 : x
  2. Step 2: Convert to fraction form
    112,449/241,572 = 241,572/x
  3. Step 3: Cross multiply
    112,449x = 241,572 × 241,572
  4. Step 4: Simplify right side
    112,449x = 58,357,031,184
  5. Step 5: Solve for x
    x = 58,357,031,184/112,449
  6. Step 6: Final answer
    x = 518,964.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.