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Finding the Third Proportional to 142,046 and 315,622

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Solution

The third proportional to 142,046 and 315,622 is: 701,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,046 : 315,622 = 315,622 : x
  2. Step 2: Convert to fraction form
    142,046/315,622 = 315,622/x
  3. Step 3: Cross multiply
    142,046x = 315,622 × 315,622
  4. Step 4: Simplify right side
    142,046x = 99,617,246,884
  5. Step 5: Solve for x
    x = 99,617,246,884/142,046
  6. Step 6: Final answer
    x = 701,302.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.