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Finding the Third Proportional to 128,523 and 200,985

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Solution

The third proportional to 128,523 and 200,985 is: 314,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,523 : 200,985 = 200,985 : x
  2. Step 2: Convert to fraction form
    128,523/200,985 = 200,985/x
  3. Step 3: Cross multiply
    128,523x = 200,985 × 200,985
  4. Step 4: Simplify right side
    128,523x = 40,394,970,225
  5. Step 5: Solve for x
    x = 40,394,970,225/128,523
  6. Step 6: Final answer
    x = 314,301.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.