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Finding the Third Proportional to 162,252 and 354,384

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Solution

The third proportional to 162,252 and 354,384 is: 774,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,252 : 354,384 = 354,384 : x
  2. Step 2: Convert to fraction form
    162,252/354,384 = 354,384/x
  3. Step 3: Cross multiply
    162,252x = 354,384 × 354,384
  4. Step 4: Simplify right side
    162,252x = 125,588,019,456
  5. Step 5: Solve for x
    x = 125,588,019,456/162,252
  6. Step 6: Final answer
    x = 774,030.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.