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Finding the Third Proportional to 153,202 and 228,876

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Solution

The third proportional to 153,202 and 228,876 is: 341,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,202 : 228,876 = 228,876 : x
  2. Step 2: Convert to fraction form
    153,202/228,876 = 228,876/x
  3. Step 3: Cross multiply
    153,202x = 228,876 × 228,876
  4. Step 4: Simplify right side
    153,202x = 52,384,223,376
  5. Step 5: Solve for x
    x = 52,384,223,376/153,202
  6. Step 6: Final answer
    x = 341,929.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.