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Finding the Third Proportional to 243.63 and 532.83

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Solution

The third proportional to 243.63 and 532.83 is: 1,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.63 : 532.83 = 532.83 : x
  2. Step 2: Convert to fraction form
    243.63/532.83 = 532.83/x
  3. Step 3: Cross multiply
    243.63x = 532.83 × 532.83
  4. Step 4: Simplify right side
    243.63x = 283,905.81
  5. Step 5: Solve for x
    x = 283,905.81/243.63
  6. Step 6: Final answer
    x = 1,165.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.