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Finding the Third Proportional to 234,168 and 363,264

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Solution

The third proportional to 234,168 and 363,264 is: 563,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,168 : 363,264 = 363,264 : x
  2. Step 2: Convert to fraction form
    234,168/363,264 = 363,264/x
  3. Step 3: Cross multiply
    234,168x = 363,264 × 363,264
  4. Step 4: Simplify right side
    234,168x = 131,960,733,696
  5. Step 5: Solve for x
    x = 131,960,733,696/234,168
  6. Step 6: Final answer
    x = 563,530.17

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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.