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Finding the Third Proportional to 134,227.13 and 294,288.19

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Solution

The third proportional to 134,227.13 and 294,288.19 is: 645,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,227.13 : 294,288.19 = 294,288.19 : x
  2. Step 2: Convert to fraction form
    134,227.13/294,288.19 = 294,288.19/x
  3. Step 3: Cross multiply
    134,227.13x = 294,288.19 × 294,288.19
  4. Step 4: Simplify right side
    134,227.13x = 86,605,537,302.04
  5. Step 5: Solve for x
    x = 86,605,537,302.04/134,227.13
  6. Step 6: Final answer
    x = 645,216.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.