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Finding the Third Proportional to 146,066 and 219,261

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Solution

The third proportional to 146,066 and 219,261 is: 329,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,066 : 219,261 = 219,261 : x
  2. Step 2: Convert to fraction form
    146,066/219,261 = 219,261/x
  3. Step 3: Cross multiply
    146,066x = 219,261 × 219,261
  4. Step 4: Simplify right side
    146,066x = 48,075,386,121
  5. Step 5: Solve for x
    x = 48,075,386,121/146,066
  6. Step 6: Final answer
    x = 329,134.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.