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Finding the Third Proportional to 150,714 and 316,939.50

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Solution

The third proportional to 150,714 and 316,939.50 is: 666,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714 : 316,939.50 = 316,939.50 : x
  2. Step 2: Convert to fraction form
    150,714/316,939.50 = 316,939.50/x
  3. Step 3: Cross multiply
    150,714x = 316,939.50 × 316,939.50
  4. Step 4: Simplify right side
    150,714x = 100,450,646,660.25
  5. Step 5: Solve for x
    x = 100,450,646,660.25/150,714
  6. Step 6: Final answer
    x = 666,498.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.