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Finding the Third Proportional to 165,123 and 353,574

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Solution

The third proportional to 165,123 and 353,574 is: 757,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,123 : 353,574 = 353,574 : x
  2. Step 2: Convert to fraction form
    165,123/353,574 = 353,574/x
  3. Step 3: Cross multiply
    165,123x = 353,574 × 353,574
  4. Step 4: Simplify right side
    165,123x = 125,014,573,476
  5. Step 5: Solve for x
    x = 125,014,573,476/165,123
  6. Step 6: Final answer
    x = 757,099.70

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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.