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Finding the Third Proportional to 162,497 and 362,336.50

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Solution

The third proportional to 162,497 and 362,336.50 is: 807,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,497 : 362,336.50 = 362,336.50 : x
  2. Step 2: Convert to fraction form
    162,497/362,336.50 = 362,336.50/x
  3. Step 3: Cross multiply
    162,497x = 362,336.50 × 362,336.50
  4. Step 4: Simplify right side
    162,497x = 131,287,739,232.25
  5. Step 5: Solve for x
    x = 131,287,739,232.25/162,497
  6. Step 6: Final answer
    x = 807,939.46

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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.