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Finding the Third Proportional to 237.19 and 510.28

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Solution

The third proportional to 237.19 and 510.28 is: 1,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.19 : 510.28 = 510.28 : x
  2. Step 2: Convert to fraction form
    237.19/510.28 = 510.28/x
  3. Step 3: Cross multiply
    237.19x = 510.28 × 510.28
  4. Step 4: Simplify right side
    237.19x = 260,386.95
  5. Step 5: Solve for x
    x = 260,386.95/237.19
  6. Step 6: Final answer
    x = 1,097.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.