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Finding the Third Proportional to 234,063 and 353,200.50

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Solution

The third proportional to 234,063 and 353,200.50 is: 532,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,063 : 353,200.50 = 353,200.50 : x
  2. Step 2: Convert to fraction form
    234,063/353,200.50 = 353,200.50/x
  3. Step 3: Cross multiply
    234,063x = 353,200.50 × 353,200.50
  4. Step 4: Simplify right side
    234,063x = 124,750,593,200.25
  5. Step 5: Solve for x
    x = 124,750,593,200.25/234,063
  6. Step 6: Final answer
    x = 532,978.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.