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Finding the Third Proportional to 145,704 and 231,684

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Solution

The third proportional to 145,704 and 231,684 is: 368,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,704 : 231,684 = 231,684 : x
  2. Step 2: Convert to fraction form
    145,704/231,684 = 231,684/x
  3. Step 3: Cross multiply
    145,704x = 231,684 × 231,684
  4. Step 4: Simplify right side
    145,704x = 53,677,475,856
  5. Step 5: Solve for x
    x = 53,677,475,856/145,704
  6. Step 6: Final answer
    x = 368,400.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.