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Finding the Third Proportional to 322,113.50 and 425,902.50

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Solution

The third proportional to 322,113.50 and 425,902.50 is: 563,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,113.50 : 425,902.50 = 425,902.50 : x
  2. Step 2: Convert to fraction form
    322,113.50/425,902.50 = 425,902.50/x
  3. Step 3: Cross multiply
    322,113.50x = 425,902.50 × 425,902.50
  4. Step 4: Simplify right side
    322,113.50x = 181,392,939,506.25
  5. Step 5: Solve for x
    x = 181,392,939,506.25/322,113.50
  6. Step 6: Final answer
    x = 563,133.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.