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Finding the Third Proportional to 130,760 and 279,370.50

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Solution

The third proportional to 130,760 and 279,370.50 is: 596,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,760 : 279,370.50 = 279,370.50 : x
  2. Step 2: Convert to fraction form
    130,760/279,370.50 = 279,370.50/x
  3. Step 3: Cross multiply
    130,760x = 279,370.50 × 279,370.50
  4. Step 4: Simplify right side
    130,760x = 78,047,876,270.25
  5. Step 5: Solve for x
    x = 78,047,876,270.25/130,760
  6. Step 6: Final answer
    x = 596,878.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.