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Finding the Third Proportional to 232,693.50 and 373,336.50

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Solution

The third proportional to 232,693.50 and 373,336.50 is: 598,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,693.50 : 373,336.50 = 373,336.50 : x
  2. Step 2: Convert to fraction form
    232,693.50/373,336.50 = 373,336.50/x
  3. Step 3: Cross multiply
    232,693.50x = 373,336.50 × 373,336.50
  4. Step 4: Simplify right side
    232,693.50x = 139,380,142,232.25
  5. Step 5: Solve for x
    x = 139,380,142,232.25/232,693.50
  6. Step 6: Final answer
    x = 598,985.97

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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.