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Finding the Third Proportional to 166,348.69 and 358,914.80

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Solution

The third proportional to 166,348.69 and 358,914.80 is: 774,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,348.69 : 358,914.80 = 358,914.80 : x
  2. Step 2: Convert to fraction form
    166,348.69/358,914.80 = 358,914.80/x
  3. Step 3: Cross multiply
    166,348.69x = 358,914.80 × 358,914.80
  4. Step 4: Simplify right side
    166,348.69x = 128,819,831,415.82
  5. Step 5: Solve for x
    x = 128,819,831,415.82/166,348.69
  6. Step 6: Final answer
    x = 774,396.44

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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.