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Finding the Third Proportional to 130,906 and 271,526

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Solution

The third proportional to 130,906 and 271,526 is: 563,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,906 : 271,526 = 271,526 : x
  2. Step 2: Convert to fraction form
    130,906/271,526 = 271,526/x
  3. Step 3: Cross multiply
    130,906x = 271,526 × 271,526
  4. Step 4: Simplify right side
    130,906x = 73,726,368,676
  5. Step 5: Solve for x
    x = 73,726,368,676/130,906
  6. Step 6: Final answer
    x = 563,200.84

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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.