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Finding the Third Proportional to 175.01 and 373.99

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Solution

The third proportional to 175.01 and 373.99 is: 799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.01 : 373.99 = 373.99 : x
  2. Step 2: Convert to fraction form
    175.01/373.99 = 373.99/x
  3. Step 3: Cross multiply
    175.01x = 373.99 × 373.99
  4. Step 4: Simplify right side
    175.01x = 139,870.16
  5. Step 5: Solve for x
    x = 139,870.16/175.01
  6. Step 6: Final answer
    x = 799.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.