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Finding the Third Proportional to 153,903 and 231,300.50

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Solution

The third proportional to 153,903 and 231,300.50 is: 347,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,903 : 231,300.50 = 231,300.50 : x
  2. Step 2: Convert to fraction form
    153,903/231,300.50 = 231,300.50/x
  3. Step 3: Cross multiply
    153,903x = 231,300.50 × 231,300.50
  4. Step 4: Simplify right side
    153,903x = 53,499,921,300.25
  5. Step 5: Solve for x
    x = 53,499,921,300.25/153,903
  6. Step 6: Final answer
    x = 347,621.04

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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.