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Finding the Third Proportional to 229,858.13 and 356,815.69

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Solution

The third proportional to 229,858.13 and 356,815.69 is: 553,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,858.13 : 356,815.69 = 356,815.69 : x
  2. Step 2: Convert to fraction form
    229,858.13/356,815.69 = 356,815.69/x
  3. Step 3: Cross multiply
    229,858.13x = 356,815.69 × 356,815.69
  4. Step 4: Simplify right side
    229,858.13x = 127,317,434,846.10
  5. Step 5: Solve for x
    x = 127,317,434,846.10/229,858.13
  6. Step 6: Final answer
    x = 553,895.73

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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.