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Finding the Third Proportional to 130,150 and 277,472

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Solution

The third proportional to 130,150 and 277,472 is: 591,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,150 : 277,472 = 277,472 : x
  2. Step 2: Convert to fraction form
    130,150/277,472 = 277,472/x
  3. Step 3: Cross multiply
    130,150x = 277,472 × 277,472
  4. Step 4: Simplify right side
    130,150x = 76,990,710,784
  5. Step 5: Solve for x
    x = 76,990,710,784/130,150
  6. Step 6: Final answer
    x = 591,553.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.