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Finding the Third Proportional to 156,654 and 242,784

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Solution

The third proportional to 156,654 and 242,784 is: 376,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,654 : 242,784 = 242,784 : x
  2. Step 2: Convert to fraction form
    156,654/242,784 = 242,784/x
  3. Step 3: Cross multiply
    156,654x = 242,784 × 242,784
  4. Step 4: Simplify right side
    156,654x = 58,944,070,656
  5. Step 5: Solve for x
    x = 58,944,070,656/156,654
  6. Step 6: Final answer
    x = 376,269.17

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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.