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Finding the Third Proportional to 162,502 and 362,346

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Solution

The third proportional to 162,502 and 362,346 is: 807,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,502 : 362,346 = 362,346 : x
  2. Step 2: Convert to fraction form
    162,502/362,346 = 362,346/x
  3. Step 3: Cross multiply
    162,502x = 362,346 × 362,346
  4. Step 4: Simplify right side
    162,502x = 131,294,623,716
  5. Step 5: Solve for x
    x = 131,294,623,716/162,502
  6. Step 6: Final answer
    x = 807,956.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.