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Finding the Third Proportional to 220,023 and 332,140.50

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Solution

The third proportional to 220,023 and 332,140.50 is: 501,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,023 : 332,140.50 = 332,140.50 : x
  2. Step 2: Convert to fraction form
    220,023/332,140.50 = 332,140.50/x
  3. Step 3: Cross multiply
    220,023x = 332,140.50 × 332,140.50
  4. Step 4: Simplify right side
    220,023x = 110,317,311,740.25
  5. Step 5: Solve for x
    x = 110,317,311,740.25/220,023
  6. Step 6: Final answer
    x = 501,389.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.