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Finding the Third Proportional to 112,304 and 242,104

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Solution

The third proportional to 112,304 and 242,104 is: 521,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,304 : 242,104 = 242,104 : x
  2. Step 2: Convert to fraction form
    112,304/242,104 = 242,104/x
  3. Step 3: Cross multiply
    112,304x = 242,104 × 242,104
  4. Step 4: Simplify right side
    112,304x = 58,614,346,816
  5. Step 5: Solve for x
    x = 58,614,346,816/112,304
  6. Step 6: Final answer
    x = 521,925.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.