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Finding the Third Proportional to 233.06 and 503.06

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Solution

The third proportional to 233.06 and 503.06 is: 1,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 503.06 = 503.06 : x
  2. Step 2: Convert to fraction form
    233.06/503.06 = 503.06/x
  3. Step 3: Cross multiply
    233.06x = 503.06 × 503.06
  4. Step 4: Simplify right side
    233.06x = 253,071.88
  5. Step 5: Solve for x
    x = 253,071.88/233.06
  6. Step 6: Final answer
    x = 1,085.85

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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.