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Finding the Third Proportional to 229.59 and 503.16

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Solution

The third proportional to 229.59 and 503.16 is: 1,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.59 : 503.16 = 503.16 : x
  2. Step 2: Convert to fraction form
    229.59/503.16 = 503.16/x
  3. Step 3: Cross multiply
    229.59x = 503.16 × 503.16
  4. Step 4: Simplify right side
    229.59x = 253,166.21
  5. Step 5: Solve for x
    x = 253,166.21/229.59
  6. Step 6: Final answer
    x = 1,102.67

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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.