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Finding the Third Proportional to 142,902 and 310,400

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Solution

The third proportional to 142,902 and 310,400 is: 674,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902 : 310,400 = 310,400 : x
  2. Step 2: Convert to fraction form
    142,902/310,400 = 310,400/x
  3. Step 3: Cross multiply
    142,902x = 310,400 × 310,400
  4. Step 4: Simplify right side
    142,902x = 96,348,160,000
  5. Step 5: Solve for x
    x = 96,348,160,000/142,902
  6. Step 6: Final answer
    x = 674,225.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.