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Finding the Third Proportional to 221,607 and 364,077

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Solution

The third proportional to 221,607 and 364,077 is: 598,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,607 : 364,077 = 364,077 : x
  2. Step 2: Convert to fraction form
    221,607/364,077 = 364,077/x
  3. Step 3: Cross multiply
    221,607x = 364,077 × 364,077
  4. Step 4: Simplify right side
    221,607x = 132,552,061,929
  5. Step 5: Solve for x
    x = 132,552,061,929/221,607
  6. Step 6: Final answer
    x = 598,140.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.