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Finding the Third Proportional to 157,051 and 343,438

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Solution

The third proportional to 157,051 and 343,438 is: 751,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,051 : 343,438 = 343,438 : x
  2. Step 2: Convert to fraction form
    157,051/343,438 = 343,438/x
  3. Step 3: Cross multiply
    157,051x = 343,438 × 343,438
  4. Step 4: Simplify right side
    157,051x = 117,949,659,844
  5. Step 5: Solve for x
    x = 117,949,659,844/157,051
  6. Step 6: Final answer
    x = 751,027.75

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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.