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Finding the Third Proportional to 228,717 and 355,531.50

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Solution

The third proportional to 228,717 and 355,531.50 is: 552,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,717 : 355,531.50 = 355,531.50 : x
  2. Step 2: Convert to fraction form
    228,717/355,531.50 = 355,531.50/x
  3. Step 3: Cross multiply
    228,717x = 355,531.50 × 355,531.50
  4. Step 4: Simplify right side
    228,717x = 126,402,647,492.25
  5. Step 5: Solve for x
    x = 126,402,647,492.25/228,717
  6. Step 6: Final answer
    x = 552,659.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.