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Finding the Third Proportional to 138,298.50 and 301,730

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Solution

The third proportional to 138,298.50 and 301,730 is: 658,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,298.50 : 301,730 = 301,730 : x
  2. Step 2: Convert to fraction form
    138,298.50/301,730 = 301,730/x
  3. Step 3: Cross multiply
    138,298.50x = 301,730 × 301,730
  4. Step 4: Simplify right side
    138,298.50x = 91,040,992,900
  5. Step 5: Solve for x
    x = 91,040,992,900/138,298.50
  6. Step 6: Final answer
    x = 658,293.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.