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Finding the Third Proportional to 156,442.50 and 217,645.50

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Solution

The third proportional to 156,442.50 and 217,645.50 is: 302,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,442.50 : 217,645.50 = 217,645.50 : x
  2. Step 2: Convert to fraction form
    156,442.50/217,645.50 = 217,645.50/x
  3. Step 3: Cross multiply
    156,442.50x = 217,645.50 × 217,645.50
  4. Step 4: Simplify right side
    156,442.50x = 47,369,563,670.25
  5. Step 5: Solve for x
    x = 47,369,563,670.25/156,442.50
  6. Step 6: Final answer
    x = 302,792.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.