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Finding the Third Proportional to 142,884 and 310,716

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Solution

The third proportional to 142,884 and 310,716 is: 675,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884 : 310,716 = 310,716 : x
  2. Step 2: Convert to fraction form
    142,884/310,716 = 310,716/x
  3. Step 3: Cross multiply
    142,884x = 310,716 × 310,716
  4. Step 4: Simplify right side
    142,884x = 96,544,432,656
  5. Step 5: Solve for x
    x = 96,544,432,656/142,884
  6. Step 6: Final answer
    x = 675,684

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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.