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Finding the Third Proportional to 162,388.50 and 243,339

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Solution

The third proportional to 162,388.50 and 243,339 is: 364,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,388.50 : 243,339 = 243,339 : x
  2. Step 2: Convert to fraction form
    162,388.50/243,339 = 243,339/x
  3. Step 3: Cross multiply
    162,388.50x = 243,339 × 243,339
  4. Step 4: Simplify right side
    162,388.50x = 59,213,868,921
  5. Step 5: Solve for x
    x = 59,213,868,921/162,388.50
  6. Step 6: Final answer
    x = 364,643.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.