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Finding the Third Proportional to 142,002 and 311,076

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Solution

The third proportional to 142,002 and 311,076 is: 681,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,002 : 311,076 = 311,076 : x
  2. Step 2: Convert to fraction form
    142,002/311,076 = 311,076/x
  3. Step 3: Cross multiply
    142,002x = 311,076 × 311,076
  4. Step 4: Simplify right side
    142,002x = 96,768,277,776
  5. Step 5: Solve for x
    x = 96,768,277,776/142,002
  6. Step 6: Final answer
    x = 681,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.