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Finding the Third Proportional to 142,944 and 305,562

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Solution

The third proportional to 142,944 and 305,562 is: 653,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,944 : 305,562 = 305,562 : x
  2. Step 2: Convert to fraction form
    142,944/305,562 = 305,562/x
  3. Step 3: Cross multiply
    142,944x = 305,562 × 305,562
  4. Step 4: Simplify right side
    142,944x = 93,368,135,844
  5. Step 5: Solve for x
    x = 93,368,135,844/142,944
  6. Step 6: Final answer
    x = 653,179.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.