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Finding the Third Proportional to 167,827.50 and 364,873.50

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Solution

The third proportional to 167,827.50 and 364,873.50 is: 793,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,827.50 : 364,873.50 = 364,873.50 : x
  2. Step 2: Convert to fraction form
    167,827.50/364,873.50 = 364,873.50/x
  3. Step 3: Cross multiply
    167,827.50x = 364,873.50 × 364,873.50
  4. Step 4: Simplify right side
    167,827.50x = 133,132,671,002.25
  5. Step 5: Solve for x
    x = 133,132,671,002.25/167,827.50
  6. Step 6: Final answer
    x = 793,270.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.