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Finding the Third Proportional to 147,132 and 228,236

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Solution

The third proportional to 147,132 and 228,236 is: 354,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,132 : 228,236 = 228,236 : x
  2. Step 2: Convert to fraction form
    147,132/228,236 = 228,236/x
  3. Step 3: Cross multiply
    147,132x = 228,236 × 228,236
  4. Step 4: Simplify right side
    147,132x = 52,091,671,696
  5. Step 5: Solve for x
    x = 52,091,671,696/147,132
  6. Step 6: Final answer
    x = 354,047.19

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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.