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Finding the Third Proportional to 152,079 and 365,911.50

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Solution

The third proportional to 152,079 and 365,911.50 is: 880,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,079 : 365,911.50 = 365,911.50 : x
  2. Step 2: Convert to fraction form
    152,079/365,911.50 = 365,911.50/x
  3. Step 3: Cross multiply
    152,079x = 365,911.50 × 365,911.50
  4. Step 4: Simplify right side
    152,079x = 133,891,225,832.25
  5. Step 5: Solve for x
    x = 133,891,225,832.25/152,079
  6. Step 6: Final answer
    x = 880,405.75

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.