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Finding the Third Proportional to 162.95 and 349.00

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Solution

The third proportional to 162.95 and 349.00 is: 747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 349.00 = 349.00 : x
  2. Step 2: Convert to fraction form
    162.95/349.00 = 349.00/x
  3. Step 3: Cross multiply
    162.95x = 349.00 × 349.00
  4. Step 4: Simplify right side
    162.95x = 121,798.27
  5. Step 5: Solve for x
    x = 121,798.27/162.95
  6. Step 6: Final answer
    x = 747.46

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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.