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Finding the Third Proportional to 162,284 and 354,092

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Solution

The third proportional to 162,284 and 354,092 is: 772,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,284 : 354,092 = 354,092 : x
  2. Step 2: Convert to fraction form
    162,284/354,092 = 354,092/x
  3. Step 3: Cross multiply
    162,284x = 354,092 × 354,092
  4. Step 4: Simplify right side
    162,284x = 125,381,144,464
  5. Step 5: Solve for x
    x = 125,381,144,464/162,284
  6. Step 6: Final answer
    x = 772,603.24

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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.