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Finding the Third Proportional to 200,972 and 319,909

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Solution

The third proportional to 200,972 and 319,909 is: 509,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972 : 319,909 = 319,909 : x
  2. Step 2: Convert to fraction form
    200,972/319,909 = 319,909/x
  3. Step 3: Cross multiply
    200,972x = 319,909 × 319,909
  4. Step 4: Simplify right side
    200,972x = 102,341,768,281
  5. Step 5: Solve for x
    x = 102,341,768,281/200,972
  6. Step 6: Final answer
    x = 509,233.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.