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Finding the Third Proportional to 232,444.69 and 340,703.72

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Solution

The third proportional to 232,444.69 and 340,703.72 is: 499,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,444.69 : 340,703.72 = 340,703.72 : x
  2. Step 2: Convert to fraction form
    232,444.69/340,703.72 = 340,703.72/x
  3. Step 3: Cross multiply
    232,444.69x = 340,703.72 × 340,703.72
  4. Step 4: Simplify right side
    232,444.69x = 116,079,023,970.08
  5. Step 5: Solve for x
    x = 116,079,023,970.08/232,444.69
  6. Step 6: Final answer
    x = 499,383.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.