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Finding the Third Proportional to 242,176.50 and 332,443.50

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Solution

The third proportional to 242,176.50 and 332,443.50 is: 456,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,176.50 : 332,443.50 = 332,443.50 : x
  2. Step 2: Convert to fraction form
    242,176.50/332,443.50 = 332,443.50/x
  3. Step 3: Cross multiply
    242,176.50x = 332,443.50 × 332,443.50
  4. Step 4: Simplify right side
    242,176.50x = 110,518,680,692.25
  5. Step 5: Solve for x
    x = 110,518,680,692.25/242,176.50
  6. Step 6: Final answer
    x = 456,355.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.