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Finding the Third Proportional to 245.86 and 532.22

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Solution

The third proportional to 245.86 and 532.22 is: 1,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.86 : 532.22 = 532.22 : x
  2. Step 2: Convert to fraction form
    245.86/532.22 = 532.22/x
  3. Step 3: Cross multiply
    245.86x = 532.22 × 532.22
  4. Step 4: Simplify right side
    245.86x = 283,256.80
  5. Step 5: Solve for x
    x = 283,256.80/245.86
  6. Step 6: Final answer
    x = 1,152.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.