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Finding the Third Proportional to 248,065.03 and 543,412.55

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Solution

The third proportional to 248,065.03 and 543,412.55 is: 1,190,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,065.03 : 543,412.55 = 543,412.55 : x
  2. Step 2: Convert to fraction form
    248,065.03/543,412.55 = 543,412.55/x
  3. Step 3: Cross multiply
    248,065.03x = 543,412.55 × 543,412.55
  4. Step 4: Simplify right side
    248,065.03x = 295,297,196,101.17
  5. Step 5: Solve for x
    x = 295,297,196,101.17/248,065.03
  6. Step 6: Final answer
    x = 1,190,402.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.