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Finding the Third Proportional to 229,861 and 356,819.50

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Solution

The third proportional to 229,861 and 356,819.50 is: 553,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,861 : 356,819.50 = 356,819.50 : x
  2. Step 2: Convert to fraction form
    229,861/356,819.50 = 356,819.50/x
  3. Step 3: Cross multiply
    229,861x = 356,819.50 × 356,819.50
  4. Step 4: Simplify right side
    229,861x = 127,320,155,580.25
  5. Step 5: Solve for x
    x = 127,320,155,580.25/229,861
  6. Step 6: Final answer
    x = 553,900.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.