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Finding the Third Proportional to 112,507 and 244,742

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Solution

The third proportional to 112,507 and 244,742 is: 532,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,507 : 244,742 = 244,742 : x
  2. Step 2: Convert to fraction form
    112,507/244,742 = 244,742/x
  3. Step 3: Cross multiply
    112,507x = 244,742 × 244,742
  4. Step 4: Simplify right side
    112,507x = 59,898,646,564
  5. Step 5: Solve for x
    x = 59,898,646,564/112,507
  6. Step 6: Final answer
    x = 532,399.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.