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Finding the Third Proportional to 259.13 and 612.56

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Solution

The third proportional to 259.13 and 612.56 is: 1,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.13 : 612.56 = 612.56 : x
  2. Step 2: Convert to fraction form
    259.13/612.56 = 612.56/x
  3. Step 3: Cross multiply
    259.13x = 612.56 × 612.56
  4. Step 4: Simplify right side
    259.13x = 375,232.82
  5. Step 5: Solve for x
    x = 375,232.82/259.13
  6. Step 6: Final answer
    x = 1,448.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.