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Finding the Third Proportional to 166,246.50 and 344,319

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Solution

The third proportional to 166,246.50 and 344,319 is: 713,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,246.50 : 344,319 = 344,319 : x
  2. Step 2: Convert to fraction form
    166,246.50/344,319 = 344,319/x
  3. Step 3: Cross multiply
    166,246.50x = 344,319 × 344,319
  4. Step 4: Simplify right side
    166,246.50x = 118,555,573,761
  5. Step 5: Solve for x
    x = 118,555,573,761/166,246.50
  6. Step 6: Final answer
    x = 713,131.25

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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.