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Finding the Third Proportional to 142,678 and 213,627

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Solution

The third proportional to 142,678 and 213,627 is: 319,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,678 : 213,627 = 213,627 : x
  2. Step 2: Convert to fraction form
    142,678/213,627 = 213,627/x
  3. Step 3: Cross multiply
    142,678x = 213,627 × 213,627
  4. Step 4: Simplify right side
    142,678x = 45,636,495,129
  5. Step 5: Solve for x
    x = 45,636,495,129/142,678
  6. Step 6: Final answer
    x = 319,856.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.