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Finding the Third Proportional to 168,565.50 and 383,897.25

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Solution

The third proportional to 168,565.50 and 383,897.25 is: 874,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,565.50 : 383,897.25 = 383,897.25 : x
  2. Step 2: Convert to fraction form
    168,565.50/383,897.25 = 383,897.25/x
  3. Step 3: Cross multiply
    168,565.50x = 383,897.25 × 383,897.25
  4. Step 4: Simplify right side
    168,565.50x = 147,377,098,557.56
  5. Step 5: Solve for x
    x = 147,377,098,557.56/168,565.50
  6. Step 6: Final answer
    x = 874,301.67

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.