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Finding the Third Proportional to 154,125 and 230,148

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Solution

The third proportional to 154,125 and 230,148 is: 343,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,125 : 230,148 = 230,148 : x
  2. Step 2: Convert to fraction form
    154,125/230,148 = 230,148/x
  3. Step 3: Cross multiply
    154,125x = 230,148 × 230,148
  4. Step 4: Simplify right side
    154,125x = 52,968,101,904
  5. Step 5: Solve for x
    x = 52,968,101,904/154,125
  6. Step 6: Final answer
    x = 343,669.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.