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Finding the Third Proportional to 248,514.50 and 382,544.50

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Solution

The third proportional to 248,514.50 and 382,544.50 is: 588,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,514.50 : 382,544.50 = 382,544.50 : x
  2. Step 2: Convert to fraction form
    248,514.50/382,544.50 = 382,544.50/x
  3. Step 3: Cross multiply
    248,514.50x = 382,544.50 × 382,544.50
  4. Step 4: Simplify right side
    248,514.50x = 146,340,294,480.25
  5. Step 5: Solve for x
    x = 146,340,294,480.25/248,514.50
  6. Step 6: Final answer
    x = 588,860.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.