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Finding the Third Proportional to 201,709 and 274,076

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Solution

The third proportional to 201,709 and 274,076 is: 372,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709 : 274,076 = 274,076 : x
  2. Step 2: Convert to fraction form
    201,709/274,076 = 274,076/x
  3. Step 3: Cross multiply
    201,709x = 274,076 × 274,076
  4. Step 4: Simplify right side
    201,709x = 75,117,653,776
  5. Step 5: Solve for x
    x = 75,117,653,776/201,709
  6. Step 6: Final answer
    x = 372,406.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.