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Finding the Third Proportional to 156,951 and 234,805.50

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Solution

The third proportional to 156,951 and 234,805.50 is: 351,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,951 : 234,805.50 = 234,805.50 : x
  2. Step 2: Convert to fraction form
    156,951/234,805.50 = 234,805.50/x
  3. Step 3: Cross multiply
    156,951x = 234,805.50 × 234,805.50
  4. Step 4: Simplify right side
    156,951x = 55,133,622,830.25
  5. Step 5: Solve for x
    x = 55,133,622,830.25/156,951
  6. Step 6: Final answer
    x = 351,279.21

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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.