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Finding the Third Proportional to 149,910 and 230,653.50

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Solution

The third proportional to 149,910 and 230,653.50 is: 354,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,910 : 230,653.50 = 230,653.50 : x
  2. Step 2: Convert to fraction form
    149,910/230,653.50 = 230,653.50/x
  3. Step 3: Cross multiply
    149,910x = 230,653.50 × 230,653.50
  4. Step 4: Simplify right side
    149,910x = 53,201,037,062.25
  5. Step 5: Solve for x
    x = 53,201,037,062.25/149,910
  6. Step 6: Final answer
    x = 354,886.51

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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.