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Finding the Third Proportional to 142,065 and 301,650

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Solution

The third proportional to 142,065 and 301,650 is: 640,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,065 : 301,650 = 301,650 : x
  2. Step 2: Convert to fraction form
    142,065/301,650 = 301,650/x
  3. Step 3: Cross multiply
    142,065x = 301,650 × 301,650
  4. Step 4: Simplify right side
    142,065x = 90,992,722,500
  5. Step 5: Solve for x
    x = 90,992,722,500/142,065
  6. Step 6: Final answer
    x = 640,500.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.