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Finding the Third Proportional to 150,465 and 228,652.50

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Solution

The third proportional to 150,465 and 228,652.50 is: 347,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465 : 228,652.50 = 228,652.50 : x
  2. Step 2: Convert to fraction form
    150,465/228,652.50 = 228,652.50/x
  3. Step 3: Cross multiply
    150,465x = 228,652.50 × 228,652.50
  4. Step 4: Simplify right side
    150,465x = 52,281,965,756.25
  5. Step 5: Solve for x
    x = 52,281,965,756.25/150,465
  6. Step 6: Final answer
    x = 347,469.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.