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Finding the Third Proportional to 116,498 and 174,567

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Solution

The third proportional to 116,498 and 174,567 is: 261,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498 : 174,567 = 174,567 : x
  2. Step 2: Convert to fraction form
    116,498/174,567 = 174,567/x
  3. Step 3: Cross multiply
    116,498x = 174,567 × 174,567
  4. Step 4: Simplify right side
    116,498x = 30,473,637,489
  5. Step 5: Solve for x
    x = 30,473,637,489/116,498
  6. Step 6: Final answer
    x = 261,580.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.