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Finding the Third Proportional to 152,718 and 253,068.75

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Solution

The third proportional to 152,718 and 253,068.75 is: 419,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,718 : 253,068.75 = 253,068.75 : x
  2. Step 2: Convert to fraction form
    152,718/253,068.75 = 253,068.75/x
  3. Step 3: Cross multiply
    152,718x = 253,068.75 × 253,068.75
  4. Step 4: Simplify right side
    152,718x = 64,043,792,226.56
  5. Step 5: Solve for x
    x = 64,043,792,226.56/152,718
  6. Step 6: Final answer
    x = 419,359.81

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.