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Finding the Third Proportional to 305 and 465.13

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Solution

The third proportional to 305 and 465.13 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 465.13 = 465.13 : x
  2. Step 2: Convert to fraction form
    305/465.13 = 465.13/x
  3. Step 3: Cross multiply
    305x = 465.13 × 465.13
  4. Step 4: Simplify right side
    305x = 216,341.27
  5. Step 5: Solve for x
    x = 216,341.27/305
  6. Step 6: Final answer
    x = 709.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.