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Finding the Third Proportional to 236,716 and 332,959

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Solution

The third proportional to 236,716 and 332,959 is: 468,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,716 : 332,959 = 332,959 : x
  2. Step 2: Convert to fraction form
    236,716/332,959 = 332,959/x
  3. Step 3: Cross multiply
    236,716x = 332,959 × 332,959
  4. Step 4: Simplify right side
    236,716x = 110,861,695,681
  5. Step 5: Solve for x
    x = 110,861,695,681/236,716
  6. Step 6: Final answer
    x = 468,332.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.