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Finding the Third Proportional to 135,660 and 294,666

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Solution

The third proportional to 135,660 and 294,666 is: 640,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,660 : 294,666 = 294,666 : x
  2. Step 2: Convert to fraction form
    135,660/294,666 = 294,666/x
  3. Step 3: Cross multiply
    135,660x = 294,666 × 294,666
  4. Step 4: Simplify right side
    135,660x = 86,828,051,556
  5. Step 5: Solve for x
    x = 86,828,051,556/135,660
  6. Step 6: Final answer
    x = 640,041.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.