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Finding the Third Proportional to 234,491.50 and 363,321

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Solution

The third proportional to 234,491.50 and 363,321 is: 562,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,491.50 : 363,321 = 363,321 : x
  2. Step 2: Convert to fraction form
    234,491.50/363,321 = 363,321/x
  3. Step 3: Cross multiply
    234,491.50x = 363,321 × 363,321
  4. Step 4: Simplify right side
    234,491.50x = 132,002,149,041
  5. Step 5: Solve for x
    x = 132,002,149,041/234,491.50
  6. Step 6: Final answer
    x = 562,929.36

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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.