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Finding the Third Proportional to 228,317 and 364,615.50

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Solution

The third proportional to 228,317 and 364,615.50 is: 582,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,317 : 364,615.50 = 364,615.50 : x
  2. Step 2: Convert to fraction form
    228,317/364,615.50 = 364,615.50/x
  3. Step 3: Cross multiply
    228,317x = 364,615.50 × 364,615.50
  4. Step 4: Simplify right side
    228,317x = 132,944,462,840.25
  5. Step 5: Solve for x
    x = 132,944,462,840.25/228,317
  6. Step 6: Final answer
    x = 582,280.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.