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Finding the Third Proportional to 162,126 and 259,000.50

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Solution

The third proportional to 162,126 and 259,000.50 is: 413,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,126 : 259,000.50 = 259,000.50 : x
  2. Step 2: Convert to fraction form
    162,126/259,000.50 = 259,000.50/x
  3. Step 3: Cross multiply
    162,126x = 259,000.50 × 259,000.50
  4. Step 4: Simplify right side
    162,126x = 67,081,259,000.25
  5. Step 5: Solve for x
    x = 67,081,259,000.25/162,126
  6. Step 6: Final answer
    x = 413,760.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.