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Finding the Third Proportional to 305.65 and 465.12

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Solution

The third proportional to 305.65 and 465.12 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 465.12 = 465.12 : x
  2. Step 2: Convert to fraction form
    305.65/465.12 = 465.12/x
  3. Step 3: Cross multiply
    305.65x = 465.12 × 465.12
  4. Step 4: Simplify right side
    305.65x = 216,334.00
  5. Step 5: Solve for x
    x = 216,334.00/305.65
  6. Step 6: Final answer
    x = 707.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.