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Finding the Third Proportional to 358.31 and 785.81

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Solution

The third proportional to 358.31 and 785.81 is: 1,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 785.81 = 785.81 : x
  2. Step 2: Convert to fraction form
    358.31/785.81 = 785.81/x
  3. Step 3: Cross multiply
    358.31x = 785.81 × 785.81
  4. Step 4: Simplify right side
    358.31x = 617,501.29
  5. Step 5: Solve for x
    x = 617,501.29/358.31
  6. Step 6: Final answer
    x = 1,723.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.