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Finding the Third Proportional to 164,720.81 and 360,960.19

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Solution

The third proportional to 164,720.81 and 360,960.19 is: 790,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,720.81 : 360,960.19 = 360,960.19 : x
  2. Step 2: Convert to fraction form
    164,720.81/360,960.19 = 360,960.19/x
  3. Step 3: Cross multiply
    164,720.81x = 360,960.19 × 360,960.19
  4. Step 4: Simplify right side
    164,720.81x = 130,292,256,960.04
  5. Step 5: Solve for x
    x = 130,292,256,960.04/164,720.81
  6. Step 6: Final answer
    x = 790,988.43

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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.