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Finding the Third Proportional to 105,125 and 233,578

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Solution

The third proportional to 105,125 and 233,578 is: 518,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,125 : 233,578 = 233,578 : x
  2. Step 2: Convert to fraction form
    105,125/233,578 = 233,578/x
  3. Step 3: Cross multiply
    105,125x = 233,578 × 233,578
  4. Step 4: Simplify right side
    105,125x = 54,558,682,084
  5. Step 5: Solve for x
    x = 54,558,682,084/105,125
  6. Step 6: Final answer
    x = 518,988.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.