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Finding the Third Proportional to 199,564 and 315,944

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Solution

The third proportional to 199,564 and 315,944 is: 500,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564 : 315,944 = 315,944 : x
  2. Step 2: Convert to fraction form
    199,564/315,944 = 315,944/x
  3. Step 3: Cross multiply
    199,564x = 315,944 × 315,944
  4. Step 4: Simplify right side
    199,564x = 99,820,611,136
  5. Step 5: Solve for x
    x = 99,820,611,136/199,564
  6. Step 6: Final answer
    x = 500,193.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.