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Finding the Third Proportional to 104,506 and 221,924

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Solution

The third proportional to 104,506 and 221,924 is: 471,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,506 : 221,924 = 221,924 : x
  2. Step 2: Convert to fraction form
    104,506/221,924 = 221,924/x
  3. Step 3: Cross multiply
    104,506x = 221,924 × 221,924
  4. Step 4: Simplify right side
    104,506x = 49,250,261,776
  5. Step 5: Solve for x
    x = 49,250,261,776/104,506
  6. Step 6: Final answer
    x = 471,267.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.