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Finding the Third Proportional to 123,154.88 and 265,301.63

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Solution

The third proportional to 123,154.88 and 265,301.63 is: 571,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,154.88 : 265,301.63 = 265,301.63 : x
  2. Step 2: Convert to fraction form
    123,154.88/265,301.63 = 265,301.63/x
  3. Step 3: Cross multiply
    123,154.88x = 265,301.63 × 265,301.63
  4. Step 4: Simplify right side
    123,154.88x = 70,384,952,227.64
  5. Step 5: Solve for x
    x = 70,384,952,227.64/123,154.88
  6. Step 6: Final answer
    x = 571,515.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.