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Finding the Third Proportional to 245,200.50 and 382,331.25

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Solution

The third proportional to 245,200.50 and 382,331.25 is: 596,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,200.50 : 382,331.25 = 382,331.25 : x
  2. Step 2: Convert to fraction form
    245,200.50/382,331.25 = 382,331.25/x
  3. Step 3: Cross multiply
    245,200.50x = 382,331.25 × 382,331.25
  4. Step 4: Simplify right side
    245,200.50x = 146,177,184,726.56
  5. Step 5: Solve for x
    x = 146,177,184,726.56/245,200.50
  6. Step 6: Final answer
    x = 596,153.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.