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Finding the Third Proportional to 151,326.75 and 212,080.13

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Solution

The third proportional to 151,326.75 and 212,080.13 is: 297,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,326.75 : 212,080.13 = 212,080.13 : x
  2. Step 2: Convert to fraction form
    151,326.75/212,080.13 = 212,080.13/x
  3. Step 3: Cross multiply
    151,326.75x = 212,080.13 × 212,080.13
  4. Step 4: Simplify right side
    151,326.75x = 44,977,979,420.02
  5. Step 5: Solve for x
    x = 44,977,979,420.02/151,326.75
  6. Step 6: Final answer
    x = 297,224.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.