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Finding the Third Proportional to 246.13 and 535.63

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Solution

The third proportional to 246.13 and 535.63 is: 1,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.13 : 535.63 = 535.63 : x
  2. Step 2: Convert to fraction form
    246.13/535.63 = 535.63/x
  3. Step 3: Cross multiply
    246.13x = 535.63 × 535.63
  4. Step 4: Simplify right side
    246.13x = 286,894.14
  5. Step 5: Solve for x
    x = 286,894.14/246.13
  6. Step 6: Final answer
    x = 1,165.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.