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Finding the Third Proportional to 156,784 and 242,844

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Solution

The third proportional to 156,784 and 242,844 is: 376,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 242,844 = 242,844 : x
  2. Step 2: Convert to fraction form
    156,784/242,844 = 242,844/x
  3. Step 3: Cross multiply
    156,784x = 242,844 × 242,844
  4. Step 4: Simplify right side
    156,784x = 58,973,208,336
  5. Step 5: Solve for x
    x = 58,973,208,336/156,784
  6. Step 6: Final answer
    x = 376,143.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.