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Finding the Third Proportional to 166,903.50 and 345,471

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Solution

The third proportional to 166,903.50 and 345,471 is: 715,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,903.50 : 345,471 = 345,471 : x
  2. Step 2: Convert to fraction form
    166,903.50/345,471 = 345,471/x
  3. Step 3: Cross multiply
    166,903.50x = 345,471 × 345,471
  4. Step 4: Simplify right side
    166,903.50x = 119,350,211,841
  5. Step 5: Solve for x
    x = 119,350,211,841/166,903.50
  6. Step 6: Final answer
    x = 715,085.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.