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Finding the Third Proportional to 234,016 and 366,724

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Solution

The third proportional to 234,016 and 366,724 is: 574,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,016 : 366,724 = 366,724 : x
  2. Step 2: Convert to fraction form
    234,016/366,724 = 366,724/x
  3. Step 3: Cross multiply
    234,016x = 366,724 × 366,724
  4. Step 4: Simplify right side
    234,016x = 134,486,492,176
  5. Step 5: Solve for x
    x = 134,486,492,176/234,016
  6. Step 6: Final answer
    x = 574,689.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.