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Finding the Third Proportional to 76,496.63 and 165,703.50

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Solution

The third proportional to 76,496.63 and 165,703.50 is: 358,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,496.63 : 165,703.50 = 165,703.50 : x
  2. Step 2: Convert to fraction form
    76,496.63/165,703.50 = 165,703.50/x
  3. Step 3: Cross multiply
    76,496.63x = 165,703.50 × 165,703.50
  4. Step 4: Simplify right side
    76,496.63x = 27,457,649,912.25
  5. Step 5: Solve for x
    x = 27,457,649,912.25/76,496.63
  6. Step 6: Final answer
    x = 358,939.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.