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Finding the Third Proportional to 147,961.13 and 228,847.50

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Solution

The third proportional to 147,961.13 and 228,847.50 is: 353,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,961.13 : 228,847.50 = 228,847.50 : x
  2. Step 2: Convert to fraction form
    147,961.13/228,847.50 = 228,847.50/x
  3. Step 3: Cross multiply
    147,961.13x = 228,847.50 × 228,847.50
  4. Step 4: Simplify right side
    147,961.13x = 52,371,178,256.25
  5. Step 5: Solve for x
    x = 52,371,178,256.25/147,961.13
  6. Step 6: Final answer
    x = 353,952.28

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Why These Related Problems?

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