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Finding the Third Proportional to 144,526 and 219,577

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Solution

The third proportional to 144,526 and 219,577 is: 333,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,526 : 219,577 = 219,577 : x
  2. Step 2: Convert to fraction form
    144,526/219,577 = 219,577/x
  3. Step 3: Cross multiply
    144,526x = 219,577 × 219,577
  4. Step 4: Simplify right side
    144,526x = 48,214,058,929
  5. Step 5: Solve for x
    x = 48,214,058,929/144,526
  6. Step 6: Final answer
    x = 333,601.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.