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Finding the Third Proportional to 169,173.56 and 360,293.06

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Solution

The third proportional to 169,173.56 and 360,293.06 is: 767,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,173.56 : 360,293.06 = 360,293.06 : x
  2. Step 2: Convert to fraction form
    169,173.56/360,293.06 = 360,293.06/x
  3. Step 3: Cross multiply
    169,173.56x = 360,293.06 × 360,293.06
  4. Step 4: Simplify right side
    169,173.56x = 129,811,090,885.63
  5. Step 5: Solve for x
    x = 129,811,090,885.63/169,173.56
  6. Step 6: Final answer
    x = 767,324.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.