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Finding the Third Proportional to 164,207.85 and 247,486.29

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Solution

The third proportional to 164,207.85 and 247,486.29 is: 372,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207.85 : 247,486.29 = 247,486.29 : x
  2. Step 2: Convert to fraction form
    164,207.85/247,486.29 = 247,486.29/x
  3. Step 3: Cross multiply
    164,207.85x = 247,486.29 × 247,486.29
  4. Step 4: Simplify right side
    164,207.85x = 61,249,463,273.93
  5. Step 5: Solve for x
    x = 61,249,463,273.93/164,207.85
  6. Step 6: Final answer
    x = 372,999.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.