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Finding the Third Proportional to 234,418.50 and 363,210.75

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Solution

The third proportional to 234,418.50 and 363,210.75 is: 562,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,418.50 : 363,210.75 = 363,210.75 : x
  2. Step 2: Convert to fraction form
    234,418.50/363,210.75 = 363,210.75/x
  3. Step 3: Cross multiply
    234,418.50x = 363,210.75 × 363,210.75
  4. Step 4: Simplify right side
    234,418.50x = 131,922,048,915.56
  5. Step 5: Solve for x
    x = 131,922,048,915.56/234,418.50
  6. Step 6: Final answer
    x = 562,762.96

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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.