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Finding the Third Proportional to 240,787.50 and 357,714

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Solution

The third proportional to 240,787.50 and 357,714 is: 531,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,787.50 : 357,714 = 357,714 : x
  2. Step 2: Convert to fraction form
    240,787.50/357,714 = 357,714/x
  3. Step 3: Cross multiply
    240,787.50x = 357,714 × 357,714
  4. Step 4: Simplify right side
    240,787.50x = 127,959,305,796
  5. Step 5: Solve for x
    x = 127,959,305,796/240,787.50
  6. Step 6: Final answer
    x = 531,420.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.