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Finding the Third Proportional to 155,892 and 228,283

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Solution

The third proportional to 155,892 and 228,283 is: 334,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,892 : 228,283 = 228,283 : x
  2. Step 2: Convert to fraction form
    155,892/228,283 = 228,283/x
  3. Step 3: Cross multiply
    155,892x = 228,283 × 228,283
  4. Step 4: Simplify right side
    155,892x = 52,113,128,089
  5. Step 5: Solve for x
    x = 52,113,128,089/155,892
  6. Step 6: Final answer
    x = 334,289.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.