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Finding the Third Proportional to 123,435 and 265,601.25

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Solution

The third proportional to 123,435 and 265,601.25 is: 571,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,435 : 265,601.25 = 265,601.25 : x
  2. Step 2: Convert to fraction form
    123,435/265,601.25 = 265,601.25/x
  3. Step 3: Cross multiply
    123,435x = 265,601.25 × 265,601.25
  4. Step 4: Simplify right side
    123,435x = 70,544,024,001.56
  5. Step 5: Solve for x
    x = 70,544,024,001.56/123,435
  6. Step 6: Final answer
    x = 571,507.47

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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.