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Finding the Third Proportional to 140,567.25 and 306,093

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Solution

The third proportional to 140,567.25 and 306,093 is: 666,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,567.25 : 306,093 = 306,093 : x
  2. Step 2: Convert to fraction form
    140,567.25/306,093 = 306,093/x
  3. Step 3: Cross multiply
    140,567.25x = 306,093 × 306,093
  4. Step 4: Simplify right side
    140,567.25x = 93,692,924,649
  5. Step 5: Solve for x
    x = 93,692,924,649/140,567.25
  6. Step 6: Final answer
    x = 666,534.52

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