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Finding the Third Proportional to 103,457.50 and 165,298.25

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Solution

The third proportional to 103,457.50 and 165,298.25 is: 264,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457.50 : 165,298.25 = 165,298.25 : x
  2. Step 2: Convert to fraction form
    103,457.50/165,298.25 = 165,298.25/x
  3. Step 3: Cross multiply
    103,457.50x = 165,298.25 × 165,298.25
  4. Step 4: Simplify right side
    103,457.50x = 27,323,511,453.06
  5. Step 5: Solve for x
    x = 27,323,511,453.06/103,457.50
  6. Step 6: Final answer
    x = 264,103.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.