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Finding the Third Proportional to 153,877.50 and 236,193.75

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Solution

The third proportional to 153,877.50 and 236,193.75 is: 362,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,877.50 : 236,193.75 = 236,193.75 : x
  2. Step 2: Convert to fraction form
    153,877.50/236,193.75 = 236,193.75/x
  3. Step 3: Cross multiply
    153,877.50x = 236,193.75 × 236,193.75
  4. Step 4: Simplify right side
    153,877.50x = 55,787,487,539.06
  5. Step 5: Solve for x
    x = 55,787,487,539.06/153,877.50
  6. Step 6: Final answer
    x = 362,544.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.