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Finding the Third Proportional to 82,527 and 180,228

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Solution

The third proportional to 82,527 and 180,228 is: 393,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527 : 180,228 = 180,228 : x
  2. Step 2: Convert to fraction form
    82,527/180,228 = 180,228/x
  3. Step 3: Cross multiply
    82,527x = 180,228 × 180,228
  4. Step 4: Simplify right side
    82,527x = 32,482,131,984
  5. Step 5: Solve for x
    x = 32,482,131,984/82,527
  6. Step 6: Final answer
    x = 393,594.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.