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Finding the Third Proportional to 243,194 and 363,819.50

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Solution

The third proportional to 243,194 and 363,819.50 is: 544,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,194 : 363,819.50 = 363,819.50 : x
  2. Step 2: Convert to fraction form
    243,194/363,819.50 = 363,819.50/x
  3. Step 3: Cross multiply
    243,194x = 363,819.50 × 363,819.50
  4. Step 4: Simplify right side
    243,194x = 132,364,628,580.25
  5. Step 5: Solve for x
    x = 132,364,628,580.25/243,194
  6. Step 6: Final answer
    x = 544,275.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.