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Finding the Third Proportional to 182,896 and 274,342

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Solution

The third proportional to 182,896 and 274,342 is: 411,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,896 : 274,342 = 274,342 : x
  2. Step 2: Convert to fraction form
    182,896/274,342 = 274,342/x
  3. Step 3: Cross multiply
    182,896x = 274,342 × 274,342
  4. Step 4: Simplify right side
    182,896x = 75,263,532,964
  5. Step 5: Solve for x
    x = 75,263,532,964/182,896
  6. Step 6: Final answer
    x = 411,510.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.