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Finding the Third Proportional to 105,573 and 230,082

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Solution

The third proportional to 105,573 and 230,082 is: 501,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,573 : 230,082 = 230,082 : x
  2. Step 2: Convert to fraction form
    105,573/230,082 = 230,082/x
  3. Step 3: Cross multiply
    105,573x = 230,082 × 230,082
  4. Step 4: Simplify right side
    105,573x = 52,937,726,724
  5. Step 5: Solve for x
    x = 52,937,726,724/105,573
  6. Step 6: Final answer
    x = 501,432.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.