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Finding the Third Proportional to 146,985 and 233,605.50

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Solution

The third proportional to 146,985 and 233,605.50 is: 371,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,985 : 233,605.50 = 233,605.50 : x
  2. Step 2: Convert to fraction form
    146,985/233,605.50 = 233,605.50/x
  3. Step 3: Cross multiply
    146,985x = 233,605.50 × 233,605.50
  4. Step 4: Simplify right side
    146,985x = 54,571,529,630.25
  5. Step 5: Solve for x
    x = 54,571,529,630.25/146,985
  6. Step 6: Final answer
    x = 371,272.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.