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Finding the Third Proportional to 159,234.50 and 375,365.50

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Solution

The third proportional to 159,234.50 and 375,365.50 is: 884,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,234.50 : 375,365.50 = 375,365.50 : x
  2. Step 2: Convert to fraction form
    159,234.50/375,365.50 = 375,365.50/x
  3. Step 3: Cross multiply
    159,234.50x = 375,365.50 × 375,365.50
  4. Step 4: Simplify right side
    159,234.50x = 140,899,258,590.25
  5. Step 5: Solve for x
    x = 140,899,258,590.25/159,234.50
  6. Step 6: Final answer
    x = 884,853.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.