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Finding the Third Proportional to 130,051.50 and 279,502.50

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Solution

The third proportional to 130,051.50 and 279,502.50 is: 600,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,051.50 : 279,502.50 = 279,502.50 : x
  2. Step 2: Convert to fraction form
    130,051.50/279,502.50 = 279,502.50/x
  3. Step 3: Cross multiply
    130,051.50x = 279,502.50 × 279,502.50
  4. Step 4: Simplify right side
    130,051.50x = 78,121,647,506.25
  5. Step 5: Solve for x
    x = 78,121,647,506.25/130,051.50
  6. Step 6: Final answer
    x = 600,697.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.