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Finding the Third Proportional to 201,699 and 293,085

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Solution

The third proportional to 201,699 and 293,085 is: 425,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699 : 293,085 = 293,085 : x
  2. Step 2: Convert to fraction form
    201,699/293,085 = 293,085/x
  3. Step 3: Cross multiply
    201,699x = 293,085 × 293,085
  4. Step 4: Simplify right side
    201,699x = 85,898,817,225
  5. Step 5: Solve for x
    x = 85,898,817,225/201,699
  6. Step 6: Final answer
    x = 425,876.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.