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Finding the Third Proportional to 234,332 and 363,150

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Solution

The third proportional to 234,332 and 363,150 is: 562,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,332 : 363,150 = 363,150 : x
  2. Step 2: Convert to fraction form
    234,332/363,150 = 363,150/x
  3. Step 3: Cross multiply
    234,332x = 363,150 × 363,150
  4. Step 4: Simplify right side
    234,332x = 131,877,922,500
  5. Step 5: Solve for x
    x = 131,877,922,500/234,332
  6. Step 6: Final answer
    x = 562,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.