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Finding the Third Proportional to 233,160.75 and 342,085.50

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Solution

The third proportional to 233,160.75 and 342,085.50 is: 501,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 342,085.50 = 342,085.50 : x
  2. Step 2: Convert to fraction form
    233,160.75/342,085.50 = 342,085.50/x
  3. Step 3: Cross multiply
    233,160.75x = 342,085.50 × 342,085.50
  4. Step 4: Simplify right side
    233,160.75x = 117,022,489,310.25
  5. Step 5: Solve for x
    x = 117,022,489,310.25/233,160.75
  6. Step 6: Final answer
    x = 501,896.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.