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Finding the Third Proportional to 140,989.50 and 307,703.25

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Solution

The third proportional to 140,989.50 and 307,703.25 is: 671,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,989.50 : 307,703.25 = 307,703.25 : x
  2. Step 2: Convert to fraction form
    140,989.50/307,703.25 = 307,703.25/x
  3. Step 3: Cross multiply
    140,989.50x = 307,703.25 × 307,703.25
  4. Step 4: Simplify right side
    140,989.50x = 94,681,290,060.56
  5. Step 5: Solve for x
    x = 94,681,290,060.56/140,989.50
  6. Step 6: Final answer
    x = 671,548.52

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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.