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Finding the Third Proportional to 155,441 and 228,058

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Solution

The third proportional to 155,441 and 228,058 is: 334,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,441 : 228,058 = 228,058 : x
  2. Step 2: Convert to fraction form
    155,441/228,058 = 228,058/x
  3. Step 3: Cross multiply
    155,441x = 228,058 × 228,058
  4. Step 4: Simplify right side
    155,441x = 52,010,451,364
  5. Step 5: Solve for x
    x = 52,010,451,364/155,441
  6. Step 6: Final answer
    x = 334,599.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.