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Finding the Third Proportional to 184,528.13 and 242,301.38

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Solution

The third proportional to 184,528.13 and 242,301.38 is: 318,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,528.13 : 242,301.38 = 242,301.38 : x
  2. Step 2: Convert to fraction form
    184,528.13/242,301.38 = 242,301.38/x
  3. Step 3: Cross multiply
    184,528.13x = 242,301.38 × 242,301.38
  4. Step 4: Simplify right side
    184,528.13x = 58,709,956,326.89
  5. Step 5: Solve for x
    x = 58,709,956,326.89/184,528.13
  6. Step 6: Final answer
    x = 318,162.65

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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.