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Finding the Third Proportional to 234,508.50 and 363,348

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Solution

The third proportional to 234,508.50 and 363,348 is: 562,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,508.50 : 363,348 = 363,348 : x
  2. Step 2: Convert to fraction form
    234,508.50/363,348 = 363,348/x
  3. Step 3: Cross multiply
    234,508.50x = 363,348 × 363,348
  4. Step 4: Simplify right side
    234,508.50x = 132,021,769,104
  5. Step 5: Solve for x
    x = 132,021,769,104/234,508.50
  6. Step 6: Final answer
    x = 562,972.21

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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.