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Finding the Third Proportional to 250.70 and 585.77

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Solution

The third proportional to 250.70 and 585.77 is: 1,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 585.77 = 585.77 : x
  2. Step 2: Convert to fraction form
    250.70/585.77 = 585.77/x
  3. Step 3: Cross multiply
    250.70x = 585.77 × 585.77
  4. Step 4: Simplify right side
    250.70x = 343,130.52
  5. Step 5: Solve for x
    x = 343,130.52/250.70
  6. Step 6: Final answer
    x = 1,368.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.