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Finding the Third Proportional to 153,364.50 and 232,809.75

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Solution

The third proportional to 153,364.50 and 232,809.75 is: 353,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,364.50 : 232,809.75 = 232,809.75 : x
  2. Step 2: Convert to fraction form
    153,364.50/232,809.75 = 232,809.75/x
  3. Step 3: Cross multiply
    153,364.50x = 232,809.75 × 232,809.75
  4. Step 4: Simplify right side
    153,364.50x = 54,200,379,695.06
  5. Step 5: Solve for x
    x = 54,200,379,695.06/153,364.50
  6. Step 6: Final answer
    x = 353,408.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.