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Finding the Third Proportional to 164,044.50 and 215,403.75

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Solution

The third proportional to 164,044.50 and 215,403.75 is: 282,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,044.50 : 215,403.75 = 215,403.75 : x
  2. Step 2: Convert to fraction form
    164,044.50/215,403.75 = 215,403.75/x
  3. Step 3: Cross multiply
    164,044.50x = 215,403.75 × 215,403.75
  4. Step 4: Simplify right side
    164,044.50x = 46,398,775,514.06
  5. Step 5: Solve for x
    x = 46,398,775,514.06/164,044.50
  6. Step 6: Final answer
    x = 282,842.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.