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Finding the Third Proportional to 146,987.25 and 322,000.13

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Solution

The third proportional to 146,987.25 and 322,000.13 is: 705,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,987.25 : 322,000.13 = 322,000.13 : x
  2. Step 2: Convert to fraction form
    146,987.25/322,000.13 = 322,000.13/x
  3. Step 3: Cross multiply
    146,987.25x = 322,000.13 × 322,000.13
  4. Step 4: Simplify right side
    146,987.25x = 103,684,080,500.02
  5. Step 5: Solve for x
    x = 103,684,080,500.02/146,987.25
  6. Step 6: Final answer
    x = 705,395.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.