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Finding the Third Proportional to 142,942 and 304,878

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Solution

The third proportional to 142,942 and 304,878 is: 650,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,942 : 304,878 = 304,878 : x
  2. Step 2: Convert to fraction form
    142,942/304,878 = 304,878/x
  3. Step 3: Cross multiply
    142,942x = 304,878 × 304,878
  4. Step 4: Simplify right side
    142,942x = 92,950,594,884
  5. Step 5: Solve for x
    x = 92,950,594,884/142,942
  6. Step 6: Final answer
    x = 650,267.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.