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Finding the Third Proportional to 123,675.19 and 264,844.69

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Solution

The third proportional to 123,675.19 and 264,844.69 is: 567,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,675.19 : 264,844.69 = 264,844.69 : x
  2. Step 2: Convert to fraction form
    123,675.19/264,844.69 = 264,844.69/x
  3. Step 3: Cross multiply
    123,675.19x = 264,844.69 × 264,844.69
  4. Step 4: Simplify right side
    123,675.19x = 70,142,708,496.97
  5. Step 5: Solve for x
    x = 70,142,708,496.97/123,675.19
  6. Step 6: Final answer
    x = 567,152.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.