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Finding the Third Proportional to 170.48 and 373.31

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Solution

The third proportional to 170.48 and 373.31 is: 817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 373.31 = 373.31 : x
  2. Step 2: Convert to fraction form
    170.48/373.31 = 373.31/x
  3. Step 3: Cross multiply
    170.48x = 373.31 × 373.31
  4. Step 4: Simplify right side
    170.48x = 139,362.22
  5. Step 5: Solve for x
    x = 139,362.22/170.48
  6. Step 6: Final answer
    x = 817.45

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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.