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Finding the Third Proportional to 123,157.97 and 265,307.91

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Solution

The third proportional to 123,157.97 and 265,307.91 is: 571,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,157.97 : 265,307.91 = 265,307.91 : x
  2. Step 2: Convert to fraction form
    123,157.97/265,307.91 = 265,307.91/x
  3. Step 3: Cross multiply
    123,157.97x = 265,307.91 × 265,307.91
  4. Step 4: Simplify right side
    123,157.97x = 70,388,285,118.76
  5. Step 5: Solve for x
    x = 70,388,285,118.76/123,157.97
  6. Step 6: Final answer
    x = 571,528.47

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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.