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Finding the Third Proportional to 219.06 and 507.16

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Solution

The third proportional to 219.06 and 507.16 is: 1,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 507.16 = 507.16 : x
  2. Step 2: Convert to fraction form
    219.06/507.16 = 507.16/x
  3. Step 3: Cross multiply
    219.06x = 507.16 × 507.16
  4. Step 4: Simplify right side
    219.06x = 257,207.46
  5. Step 5: Solve for x
    x = 257,207.46/219.06
  6. Step 6: Final answer
    x = 1,174.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.