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Finding the Third Proportional to 149,850 and 320,954.91

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Solution

The third proportional to 149,850 and 320,954.91 is: 687,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 320,954.91 = 320,954.91 : x
  2. Step 2: Convert to fraction form
    149,850/320,954.91 = 320,954.91/x
  3. Step 3: Cross multiply
    149,850x = 320,954.91 × 320,954.91
  4. Step 4: Simplify right side
    149,850x = 103,012,051,845.95
  5. Step 5: Solve for x
    x = 103,012,051,845.95/149,850
  6. Step 6: Final answer
    x = 687,434.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.