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Finding the Third Proportional to 162,652 and 228,750

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Solution

The third proportional to 162,652 and 228,750 is: 321,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,652 : 228,750 = 228,750 : x
  2. Step 2: Convert to fraction form
    162,652/228,750 = 228,750/x
  3. Step 3: Cross multiply
    162,652x = 228,750 × 228,750
  4. Step 4: Simplify right side
    162,652x = 52,326,562,500
  5. Step 5: Solve for x
    x = 52,326,562,500/162,652
  6. Step 6: Final answer
    x = 321,708.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.