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Finding the Third Proportional to 145,624 and 219,768

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Solution

The third proportional to 145,624 and 219,768 is: 331,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,624 : 219,768 = 219,768 : x
  2. Step 2: Convert to fraction form
    145,624/219,768 = 219,768/x
  3. Step 3: Cross multiply
    145,624x = 219,768 × 219,768
  4. Step 4: Simplify right side
    145,624x = 48,297,973,824
  5. Step 5: Solve for x
    x = 48,297,973,824/145,624
  6. Step 6: Final answer
    x = 331,662.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.