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Finding the Third Proportional to 110,784 and 242,304

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Solution

The third proportional to 110,784 and 242,304 is: 529,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,784 : 242,304 = 242,304 : x
  2. Step 2: Convert to fraction form
    110,784/242,304 = 242,304/x
  3. Step 3: Cross multiply
    110,784x = 242,304 × 242,304
  4. Step 4: Simplify right side
    110,784x = 58,711,228,416
  5. Step 5: Solve for x
    x = 58,711,228,416/110,784
  6. Step 6: Final answer
    x = 529,961.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.