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Finding the Third Proportional to 130,905 and 271,524

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Solution

The third proportional to 130,905 and 271,524 is: 563,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,905 : 271,524 = 271,524 : x
  2. Step 2: Convert to fraction form
    130,905/271,524 = 271,524/x
  3. Step 3: Cross multiply
    130,905x = 271,524 × 271,524
  4. Step 4: Simplify right side
    130,905x = 73,725,282,576
  5. Step 5: Solve for x
    x = 73,725,282,576/130,905
  6. Step 6: Final answer
    x = 563,196.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.