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Finding the Third Proportional to 160,514.25 and 248,887

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Solution

The third proportional to 160,514.25 and 248,887 is: 385,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,514.25 : 248,887 = 248,887 : x
  2. Step 2: Convert to fraction form
    160,514.25/248,887 = 248,887/x
  3. Step 3: Cross multiply
    160,514.25x = 248,887 × 248,887
  4. Step 4: Simplify right side
    160,514.25x = 61,944,738,769
  5. Step 5: Solve for x
    x = 61,944,738,769/160,514.25
  6. Step 6: Final answer
    x = 385,914.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.