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Finding the Third Proportional to 154,010 and 333,292

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Solution

The third proportional to 154,010 and 333,292 is: 721,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,010 : 333,292 = 333,292 : x
  2. Step 2: Convert to fraction form
    154,010/333,292 = 333,292/x
  3. Step 3: Cross multiply
    154,010x = 333,292 × 333,292
  4. Step 4: Simplify right side
    154,010x = 111,083,557,264
  5. Step 5: Solve for x
    x = 111,083,557,264/154,010
  6. Step 6: Final answer
    x = 721,274.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.