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Finding the Third Proportional to 76,465.50 and 164,730

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Solution

The third proportional to 76,465.50 and 164,730 is: 354,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.50 : 164,730 = 164,730 : x
  2. Step 2: Convert to fraction form
    76,465.50/164,730 = 164,730/x
  3. Step 3: Cross multiply
    76,465.50x = 164,730 × 164,730
  4. Step 4: Simplify right side
    76,465.50x = 27,135,972,900
  5. Step 5: Solve for x
    x = 27,135,972,900/76,465.50
  6. Step 6: Final answer
    x = 354,878.64

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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.