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Finding the Third Proportional to 229,483.13 and 379,250.86

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Solution

The third proportional to 229,483.13 and 379,250.86 is: 626,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,483.13 : 379,250.86 = 379,250.86 : x
  2. Step 2: Convert to fraction form
    229,483.13/379,250.86 = 379,250.86/x
  3. Step 3: Cross multiply
    229,483.13x = 379,250.86 × 379,250.86
  4. Step 4: Simplify right side
    229,483.13x = 143,831,214,336.68
  5. Step 5: Solve for x
    x = 143,831,214,336.68/229,483.13
  6. Step 6: Final answer
    x = 626,761.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.