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Finding the Third Proportional to 145,843.13 and 224,987.25

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Solution

The third proportional to 145,843.13 and 224,987.25 is: 347,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,843.13 : 224,987.25 = 224,987.25 : x
  2. Step 2: Convert to fraction form
    145,843.13/224,987.25 = 224,987.25/x
  3. Step 3: Cross multiply
    145,843.13x = 224,987.25 × 224,987.25
  4. Step 4: Simplify right side
    145,843.13x = 50,619,262,662.56
  5. Step 5: Solve for x
    x = 50,619,262,662.56/145,843.13
  6. Step 6: Final answer
    x = 347,080.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.