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Finding the Third Proportional to 144,704 and 226,316

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Solution

The third proportional to 144,704 and 226,316 is: 353,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,704 : 226,316 = 226,316 : x
  2. Step 2: Convert to fraction form
    144,704/226,316 = 226,316/x
  3. Step 3: Cross multiply
    144,704x = 226,316 × 226,316
  4. Step 4: Simplify right side
    144,704x = 51,218,931,856
  5. Step 5: Solve for x
    x = 51,218,931,856/144,704
  6. Step 6: Final answer
    x = 353,956.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.