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Finding the Third Proportional to 1.00 and 1.46

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Solution

The third proportional to 1.00 and 1.46 is: 2.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.00 : 1.46 = 1.46 : x
  2. Step 2: Convert to fraction form
    1.00/1.46 = 1.46/x
  3. Step 3: Cross multiply
    1.00x = 1.46 × 1.46
  4. Step 4: Simplify right side
    1.00x = 2.13
  5. Step 5: Solve for x
    x = 2.13/1.00
  6. Step 6: Final answer
    x = 2.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.