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Finding the Third Proportional to 358.23 and 483.34

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Solution

The third proportional to 358.23 and 483.34 is: 652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 483.34 = 483.34 : x
  2. Step 2: Convert to fraction form
    358.23/483.34 = 483.34/x
  3. Step 3: Cross multiply
    358.23x = 483.34 × 483.34
  4. Step 4: Simplify right side
    358.23x = 233,621.18
  5. Step 5: Solve for x
    x = 233,621.18/358.23
  6. Step 6: Final answer
    x = 652.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.