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Finding the Third Proportional to 168,494.63 and 360,681.75

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Solution

The third proportional to 168,494.63 and 360,681.75 is: 772,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,494.63 : 360,681.75 = 360,681.75 : x
  2. Step 2: Convert to fraction form
    168,494.63/360,681.75 = 360,681.75/x
  3. Step 3: Cross multiply
    168,494.63x = 360,681.75 × 360,681.75
  4. Step 4: Simplify right side
    168,494.63x = 130,091,324,783.06
  5. Step 5: Solve for x
    x = 130,091,324,783.06/168,494.63
  6. Step 6: Final answer
    x = 772,079.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.