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Finding the Third Proportional to 142,584 and 208,692

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Solution

The third proportional to 142,584 and 208,692 is: 305,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,584 : 208,692 = 208,692 : x
  2. Step 2: Convert to fraction form
    142,584/208,692 = 208,692/x
  3. Step 3: Cross multiply
    142,584x = 208,692 × 208,692
  4. Step 4: Simplify right side
    142,584x = 43,552,350,864
  5. Step 5: Solve for x
    x = 43,552,350,864/142,584
  6. Step 6: Final answer
    x = 305,450.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.