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Finding the Third Proportional to 182,214 and 392,107.50

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Solution

The third proportional to 182,214 and 392,107.50 is: 843,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,214 : 392,107.50 = 392,107.50 : x
  2. Step 2: Convert to fraction form
    182,214/392,107.50 = 392,107.50/x
  3. Step 3: Cross multiply
    182,214x = 392,107.50 × 392,107.50
  4. Step 4: Simplify right side
    182,214x = 153,748,291,556.25
  5. Step 5: Solve for x
    x = 153,748,291,556.25/182,214
  6. Step 6: Final answer
    x = 843,778.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.