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Finding the Third Proportional to 229,444.31 and 492,103.69

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Solution

The third proportional to 229,444.31 and 492,103.69 is: 1,055,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,444.31 : 492,103.69 = 492,103.69 : x
  2. Step 2: Convert to fraction form
    229,444.31/492,103.69 = 492,103.69/x
  3. Step 3: Cross multiply
    229,444.31x = 492,103.69 × 492,103.69
  4. Step 4: Simplify right side
    229,444.31x = 242,166,039,251.10
  5. Step 5: Solve for x
    x = 242,166,039,251.10/229,444.31
  6. Step 6: Final answer
    x = 1,055,445.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.