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Finding the Third Proportional to 143,748 and 335,748

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Solution

The third proportional to 143,748 and 335,748 is: 784,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,748 : 335,748 = 335,748 : x
  2. Step 2: Convert to fraction form
    143,748/335,748 = 335,748/x
  3. Step 3: Cross multiply
    143,748x = 335,748 × 335,748
  4. Step 4: Simplify right side
    143,748x = 112,726,719,504
  5. Step 5: Solve for x
    x = 112,726,719,504/143,748
  6. Step 6: Final answer
    x = 784,196.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.