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Finding the Third Proportional to 137,714 and 295,516

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Solution

The third proportional to 137,714 and 295,516 is: 634,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714 : 295,516 = 295,516 : x
  2. Step 2: Convert to fraction form
    137,714/295,516 = 295,516/x
  3. Step 3: Cross multiply
    137,714x = 295,516 × 295,516
  4. Step 4: Simplify right side
    137,714x = 87,329,706,256
  5. Step 5: Solve for x
    x = 87,329,706,256/137,714
  6. Step 6: Final answer
    x = 634,138.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.