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Finding the Third Proportional to 292.13 and 470.06

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Solution

The third proportional to 292.13 and 470.06 is: 756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.13 : 470.06 = 470.06 : x
  2. Step 2: Convert to fraction form
    292.13/470.06 = 470.06/x
  3. Step 3: Cross multiply
    292.13x = 470.06 × 470.06
  4. Step 4: Simplify right side
    292.13x = 220,958.75
  5. Step 5: Solve for x
    x = 220,958.75/292.13
  6. Step 6: Final answer
    x = 756.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.