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Finding the Third Proportional to 184,542 and 242,316

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Solution

The third proportional to 184,542 and 242,316 is: 318,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,542 : 242,316 = 242,316 : x
  2. Step 2: Convert to fraction form
    184,542/242,316 = 242,316/x
  3. Step 3: Cross multiply
    184,542x = 242,316 × 242,316
  4. Step 4: Simplify right side
    184,542x = 58,717,043,856
  5. Step 5: Solve for x
    x = 58,717,043,856/184,542
  6. Step 6: Final answer
    x = 318,177.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.