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Finding the Third Proportional to 123,336 and 255,424

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Solution

The third proportional to 123,336 and 255,424 is: 528,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,336 : 255,424 = 255,424 : x
  2. Step 2: Convert to fraction form
    123,336/255,424 = 255,424/x
  3. Step 3: Cross multiply
    123,336x = 255,424 × 255,424
  4. Step 4: Simplify right side
    123,336x = 65,241,419,776
  5. Step 5: Solve for x
    x = 65,241,419,776/123,336
  6. Step 6: Final answer
    x = 528,973.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.