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Finding the Third Proportional to 232.88 and 432.28

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Solution

The third proportional to 232.88 and 432.28 is: 802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 432.28 = 432.28 : x
  2. Step 2: Convert to fraction form
    232.88/432.28 = 432.28/x
  3. Step 3: Cross multiply
    232.88x = 432.28 × 432.28
  4. Step 4: Simplify right side
    232.88x = 186,867.08
  5. Step 5: Solve for x
    x = 186,867.08/232.88
  6. Step 6: Final answer
    x = 802.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.