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Finding the Third Proportional to 234,312 and 363,120

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Solution

The third proportional to 234,312 and 363,120 is: 562,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,312 : 363,120 = 363,120 : x
  2. Step 2: Convert to fraction form
    234,312/363,120 = 363,120/x
  3. Step 3: Cross multiply
    234,312x = 363,120 × 363,120
  4. Step 4: Simplify right side
    234,312x = 131,856,134,400
  5. Step 5: Solve for x
    x = 131,856,134,400/234,312
  6. Step 6: Final answer
    x = 562,737.44

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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.