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Finding the Third Proportional to 153,861 and 232,840.50

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Solution

The third proportional to 153,861 and 232,840.50 is: 352,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,861 : 232,840.50 = 232,840.50 : x
  2. Step 2: Convert to fraction form
    153,861/232,840.50 = 232,840.50/x
  3. Step 3: Cross multiply
    153,861x = 232,840.50 × 232,840.50
  4. Step 4: Simplify right side
    153,861x = 54,214,698,440.25
  5. Step 5: Solve for x
    x = 54,214,698,440.25/153,861
  6. Step 6: Final answer
    x = 352,361.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.