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Finding the Third Proportional to 251,010 and 382,397.50

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Solution

The third proportional to 251,010 and 382,397.50 is: 582,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,010 : 382,397.50 = 382,397.50 : x
  2. Step 2: Convert to fraction form
    251,010/382,397.50 = 382,397.50/x
  3. Step 3: Cross multiply
    251,010x = 382,397.50 × 382,397.50
  4. Step 4: Simplify right side
    251,010x = 146,227,848,006.25
  5. Step 5: Solve for x
    x = 146,227,848,006.25/251,010
  6. Step 6: Final answer
    x = 582,557.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.