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Finding the Third Proportional to 166,695.50 and 360,047

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Solution

The third proportional to 166,695.50 and 360,047 is: 777,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,695.50 : 360,047 = 360,047 : x
  2. Step 2: Convert to fraction form
    166,695.50/360,047 = 360,047/x
  3. Step 3: Cross multiply
    166,695.50x = 360,047 × 360,047
  4. Step 4: Simplify right side
    166,695.50x = 129,633,842,209
  5. Step 5: Solve for x
    x = 129,633,842,209/166,695.50
  6. Step 6: Final answer
    x = 777,668.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.