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Finding the Third Proportional to 199,298 and 293,115

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Solution

The third proportional to 199,298 and 293,115 is: 431,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,298 : 293,115 = 293,115 : x
  2. Step 2: Convert to fraction form
    199,298/293,115 = 293,115/x
  3. Step 3: Cross multiply
    199,298x = 293,115 × 293,115
  4. Step 4: Simplify right side
    199,298x = 85,916,403,225
  5. Step 5: Solve for x
    x = 85,916,403,225/199,298
  6. Step 6: Final answer
    x = 431,095.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.