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Finding the Third Proportional to 150,714.75 and 325,089.75

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Solution

The third proportional to 150,714.75 and 325,089.75 is: 701,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714.75 : 325,089.75 = 325,089.75 : x
  2. Step 2: Convert to fraction form
    150,714.75/325,089.75 = 325,089.75/x
  3. Step 3: Cross multiply
    150,714.75x = 325,089.75 × 325,089.75
  4. Step 4: Simplify right side
    150,714.75x = 105,683,345,555.06
  5. Step 5: Solve for x
    x = 105,683,345,555.06/150,714.75
  6. Step 6: Final answer
    x = 701,214.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.