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Finding the Third Proportional to 130,738 and 276,164

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Solution

The third proportional to 130,738 and 276,164 is: 583,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,738 : 276,164 = 276,164 : x
  2. Step 2: Convert to fraction form
    130,738/276,164 = 276,164/x
  3. Step 3: Cross multiply
    130,738x = 276,164 × 276,164
  4. Step 4: Simplify right side
    130,738x = 76,266,554,896
  5. Step 5: Solve for x
    x = 76,266,554,896/130,738
  6. Step 6: Final answer
    x = 583,354.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.