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Finding the Third Proportional to 166,701 and 345,066

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Solution

The third proportional to 166,701 and 345,066 is: 714,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,701 : 345,066 = 345,066 : x
  2. Step 2: Convert to fraction form
    166,701/345,066 = 345,066/x
  3. Step 3: Cross multiply
    166,701x = 345,066 × 345,066
  4. Step 4: Simplify right side
    166,701x = 119,070,544,356
  5. Step 5: Solve for x
    x = 119,070,544,356/166,701
  6. Step 6: Final answer
    x = 714,276.13

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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.