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Finding the Third Proportional to 164,733.75 and 218,720.25

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Solution

The third proportional to 164,733.75 and 218,720.25 is: 290,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,733.75 : 218,720.25 = 218,720.25 : x
  2. Step 2: Convert to fraction form
    164,733.75/218,720.25 = 218,720.25/x
  3. Step 3: Cross multiply
    164,733.75x = 218,720.25 × 218,720.25
  4. Step 4: Simplify right side
    164,733.75x = 47,838,547,760.06
  5. Step 5: Solve for x
    x = 47,838,547,760.06/164,733.75
  6. Step 6: Final answer
    x = 290,399.19

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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.