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Finding the Third Proportional to 182,155 and 271,360

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Solution

The third proportional to 182,155 and 271,360 is: 404,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,155 : 271,360 = 271,360 : x
  2. Step 2: Convert to fraction form
    182,155/271,360 = 271,360/x
  3. Step 3: Cross multiply
    182,155x = 271,360 × 271,360
  4. Step 4: Simplify right side
    182,155x = 73,636,249,600
  5. Step 5: Solve for x
    x = 73,636,249,600/182,155
  6. Step 6: Final answer
    x = 404,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.