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Finding the Third Proportional to 151,473.75 and 235,209.75

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Solution

The third proportional to 151,473.75 and 235,209.75 is: 365,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,473.75 : 235,209.75 = 235,209.75 : x
  2. Step 2: Convert to fraction form
    151,473.75/235,209.75 = 235,209.75/x
  3. Step 3: Cross multiply
    151,473.75x = 235,209.75 × 235,209.75
  4. Step 4: Simplify right side
    151,473.75x = 55,323,626,495.06
  5. Step 5: Solve for x
    x = 55,323,626,495.06/151,473.75
  6. Step 6: Final answer
    x = 365,235.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.