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Finding the Third Proportional to 248,496.19 and 374,815.69

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Solution

The third proportional to 248,496.19 and 374,815.69 is: 565,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,496.19 : 374,815.69 = 374,815.69 : x
  2. Step 2: Convert to fraction form
    248,496.19/374,815.69 = 374,815.69/x
  3. Step 3: Cross multiply
    248,496.19x = 374,815.69 × 374,815.69
  4. Step 4: Simplify right side
    248,496.19x = 140,486,799,596.10
  5. Step 5: Solve for x
    x = 140,486,799,596.10/248,496.19
  6. Step 6: Final answer
    x = 565,347.91

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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.