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Finding the Third Proportional to 234,421.50 and 363,215.25

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Solution

The third proportional to 234,421.50 and 363,215.25 is: 562,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,421.50 : 363,215.25 = 363,215.25 : x
  2. Step 2: Convert to fraction form
    234,421.50/363,215.25 = 363,215.25/x
  3. Step 3: Cross multiply
    234,421.50x = 363,215.25 × 363,215.25
  4. Step 4: Simplify right side
    234,421.50x = 131,925,317,832.56
  5. Step 5: Solve for x
    x = 131,925,317,832.56/234,421.50
  6. Step 6: Final answer
    x = 562,769.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.