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Finding the Third Proportional to 199,569 and 315,972

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Solution

The third proportional to 199,569 and 315,972 is: 500,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,569 : 315,972 = 315,972 : x
  2. Step 2: Convert to fraction form
    199,569/315,972 = 315,972/x
  3. Step 3: Cross multiply
    199,569x = 315,972 × 315,972
  4. Step 4: Simplify right side
    199,569x = 99,838,304,784
  5. Step 5: Solve for x
    x = 99,838,304,784/199,569
  6. Step 6: Final answer
    x = 500,269.60

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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.