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Finding the Third Proportional to 166,053.48 and 343,921.89

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Solution

The third proportional to 166,053.48 and 343,921.89 is: 712,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,053.48 : 343,921.89 = 343,921.89 : x
  2. Step 2: Convert to fraction form
    166,053.48/343,921.89 = 343,921.89/x
  3. Step 3: Cross multiply
    166,053.48x = 343,921.89 × 343,921.89
  4. Step 4: Simplify right side
    166,053.48x = 118,282,264,164.19
  5. Step 5: Solve for x
    x = 118,282,264,164.19/166,053.48
  6. Step 6: Final answer
    x = 712,314.27

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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.