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Finding the Third Proportional to 123,336 and 265,376.25

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Solution

The third proportional to 123,336 and 265,376.25 is: 570,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,336 : 265,376.25 = 265,376.25 : x
  2. Step 2: Convert to fraction form
    123,336/265,376.25 = 265,376.25/x
  3. Step 3: Cross multiply
    123,336x = 265,376.25 × 265,376.25
  4. Step 4: Simplify right side
    123,336x = 70,424,554,064.06
  5. Step 5: Solve for x
    x = 70,424,554,064.06/123,336
  6. Step 6: Final answer
    x = 570,997.55

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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.