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Finding the Third Proportional to 153,249 and 230,080.50

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Solution

The third proportional to 153,249 and 230,080.50 is: 345,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,249 : 230,080.50 = 230,080.50 : x
  2. Step 2: Convert to fraction form
    153,249/230,080.50 = 230,080.50/x
  3. Step 3: Cross multiply
    153,249x = 230,080.50 × 230,080.50
  4. Step 4: Simplify right side
    153,249x = 52,937,036,480.25
  5. Step 5: Solve for x
    x = 52,937,036,480.25/153,249
  6. Step 6: Final answer
    x = 345,431.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.