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Finding the Third Proportional to 164,199.66 and 355,386.87

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Solution

The third proportional to 164,199.66 and 355,386.87 is: 769,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,199.66 : 355,386.87 = 355,386.87 : x
  2. Step 2: Convert to fraction form
    164,199.66/355,386.87 = 355,386.87/x
  3. Step 3: Cross multiply
    164,199.66x = 355,386.87 × 355,386.87
  4. Step 4: Simplify right side
    164,199.66x = 126,299,825,369.35
  5. Step 5: Solve for x
    x = 126,299,825,369.35/164,199.66
  6. Step 6: Final answer
    x = 769,184.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.