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Finding the Third Proportional to 130,495.50 and 173,508.75

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Solution

The third proportional to 130,495.50 and 173,508.75 is: 230,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,495.50 : 173,508.75 = 173,508.75 : x
  2. Step 2: Convert to fraction form
    130,495.50/173,508.75 = 173,508.75/x
  3. Step 3: Cross multiply
    130,495.50x = 173,508.75 × 173,508.75
  4. Step 4: Simplify right side
    130,495.50x = 30,105,286,326.56
  5. Step 5: Solve for x
    x = 30,105,286,326.56/130,495.50
  6. Step 6: Final answer
    x = 230,699.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.