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Finding the Third Proportional to 232,606.69 and 349,003.69

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Solution

The third proportional to 232,606.69 and 349,003.69 is: 523,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,606.69 : 349,003.69 = 349,003.69 : x
  2. Step 2: Convert to fraction form
    232,606.69/349,003.69 = 349,003.69/x
  3. Step 3: Cross multiply
    232,606.69x = 349,003.69 × 349,003.69
  4. Step 4: Simplify right side
    232,606.69x = 121,803,573,888.60
  5. Step 5: Solve for x
    x = 121,803,573,888.60/232,606.69
  6. Step 6: Final answer
    x = 523,646.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.