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Finding the Third Proportional to 162,496 and 362,335

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Solution

The third proportional to 162,496 and 362,335 is: 807,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,496 : 362,335 = 362,335 : x
  2. Step 2: Convert to fraction form
    162,496/362,335 = 362,335/x
  3. Step 3: Cross multiply
    162,496x = 362,335 × 362,335
  4. Step 4: Simplify right side
    162,496x = 131,286,652,225
  5. Step 5: Solve for x
    x = 131,286,652,225/162,496
  6. Step 6: Final answer
    x = 807,937.75

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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.