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Finding the Third Proportional to 154,118 and 232,284

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Solution

The third proportional to 154,118 and 232,284 is: 350,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,118 : 232,284 = 232,284 : x
  2. Step 2: Convert to fraction form
    154,118/232,284 = 232,284/x
  3. Step 3: Cross multiply
    154,118x = 232,284 × 232,284
  4. Step 4: Simplify right side
    154,118x = 53,955,856,656
  5. Step 5: Solve for x
    x = 53,955,856,656/154,118
  6. Step 6: Final answer
    x = 350,094.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.