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Finding the Third Proportional to 220,392 and 340,632

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Solution

The third proportional to 220,392 and 340,632 is: 526,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,392 : 340,632 = 340,632 : x
  2. Step 2: Convert to fraction form
    220,392/340,632 = 340,632/x
  3. Step 3: Cross multiply
    220,392x = 340,632 × 340,632
  4. Step 4: Simplify right side
    220,392x = 116,030,159,424
  5. Step 5: Solve for x
    x = 116,030,159,424/220,392
  6. Step 6: Final answer
    x = 526,471.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.