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Finding the Third Proportional to 166,051.90 and 348,834.09

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Solution

The third proportional to 166,051.90 and 348,834.09 is: 732,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,051.90 : 348,834.09 = 348,834.09 : x
  2. Step 2: Convert to fraction form
    166,051.90/348,834.09 = 348,834.09/x
  3. Step 3: Cross multiply
    166,051.90x = 348,834.09 × 348,834.09
  4. Step 4: Simplify right side
    166,051.90x = 121,685,224,962.38
  5. Step 5: Solve for x
    x = 121,685,224,962.38/166,051.90
  6. Step 6: Final answer
    x = 732,814.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.