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Finding the Third Proportional to 220,752 and 337,986

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Solution

The third proportional to 220,752 and 337,986 is: 517,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,752 : 337,986 = 337,986 : x
  2. Step 2: Convert to fraction form
    220,752/337,986 = 337,986/x
  3. Step 3: Cross multiply
    220,752x = 337,986 × 337,986
  4. Step 4: Simplify right side
    220,752x = 114,234,536,196
  5. Step 5: Solve for x
    x = 114,234,536,196/220,752
  6. Step 6: Final answer
    x = 517,479.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.