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Finding the Third Proportional to 232,778 and 355,929

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Solution

The third proportional to 232,778 and 355,929 is: 544,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,778 : 355,929 = 355,929 : x
  2. Step 2: Convert to fraction form
    232,778/355,929 = 355,929/x
  3. Step 3: Cross multiply
    232,778x = 355,929 × 355,929
  4. Step 4: Simplify right side
    232,778x = 126,685,453,041
  5. Step 5: Solve for x
    x = 126,685,453,041/232,778
  6. Step 6: Final answer
    x = 544,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.