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Finding the Third Proportional to 140,567 and 306,092

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Solution

The third proportional to 140,567 and 306,092 is: 666,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,567 : 306,092 = 306,092 : x
  2. Step 2: Convert to fraction form
    140,567/306,092 = 306,092/x
  3. Step 3: Cross multiply
    140,567x = 306,092 × 306,092
  4. Step 4: Simplify right side
    140,567x = 93,692,312,464
  5. Step 5: Solve for x
    x = 93,692,312,464/140,567
  6. Step 6: Final answer
    x = 666,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.