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Finding the Third Proportional to 123,016 and 265,337

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Solution

The third proportional to 123,016 and 265,337 is: 572,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,016 : 265,337 = 265,337 : x
  2. Step 2: Convert to fraction form
    123,016/265,337 = 265,337/x
  3. Step 3: Cross multiply
    123,016x = 265,337 × 265,337
  4. Step 4: Simplify right side
    123,016x = 70,403,723,569
  5. Step 5: Solve for x
    x = 70,403,723,569/123,016
  6. Step 6: Final answer
    x = 572,313.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.