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Finding the Third Proportional to 199,466 and 291,484

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Solution

The third proportional to 199,466 and 291,484 is: 425,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,466 : 291,484 = 291,484 : x
  2. Step 2: Convert to fraction form
    199,466/291,484 = 291,484/x
  3. Step 3: Cross multiply
    199,466x = 291,484 × 291,484
  4. Step 4: Simplify right side
    199,466x = 84,962,922,256
  5. Step 5: Solve for x
    x = 84,962,922,256/199,466
  6. Step 6: Final answer
    x = 425,951.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.