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Finding the Third Proportional to 162,985.50 and 259,341

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Solution

The third proportional to 162,985.50 and 259,341 is: 412,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,985.50 : 259,341 = 259,341 : x
  2. Step 2: Convert to fraction form
    162,985.50/259,341 = 259,341/x
  3. Step 3: Cross multiply
    162,985.50x = 259,341 × 259,341
  4. Step 4: Simplify right side
    162,985.50x = 67,257,754,281
  5. Step 5: Solve for x
    x = 67,257,754,281/162,985.50
  6. Step 6: Final answer
    x = 412,660.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.