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Finding the Third Proportional to 244.90 and 510.26

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Solution

The third proportional to 244.90 and 510.26 is: 1,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.90 : 510.26 = 510.26 : x
  2. Step 2: Convert to fraction form
    244.90/510.26 = 510.26/x
  3. Step 3: Cross multiply
    244.90x = 510.26 × 510.26
  4. Step 4: Simplify right side
    244.90x = 260,363.04
  5. Step 5: Solve for x
    x = 260,363.04/244.90
  6. Step 6: Final answer
    x = 1,063.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.