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Finding the Third Proportional to 168,309.42 and 368,289.84

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Solution

The third proportional to 168,309.42 and 368,289.84 is: 805,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,309.42 : 368,289.84 = 368,289.84 : x
  2. Step 2: Convert to fraction form
    168,309.42/368,289.84 = 368,289.84/x
  3. Step 3: Cross multiply
    168,309.42x = 368,289.84 × 368,289.84
  4. Step 4: Simplify right side
    168,309.42x = 135,637,409,009.40
  5. Step 5: Solve for x
    x = 135,637,409,009.40/168,309.42
  6. Step 6: Final answer
    x = 805,881.26

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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.