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Finding the Third Proportional to 148,538.25 and 320,750.44

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Solution

The third proportional to 148,538.25 and 320,750.44 is: 692,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,538.25 : 320,750.44 = 320,750.44 : x
  2. Step 2: Convert to fraction form
    148,538.25/320,750.44 = 320,750.44/x
  3. Step 3: Cross multiply
    148,538.25x = 320,750.44 × 320,750.44
  4. Step 4: Simplify right side
    148,538.25x = 102,880,843,156.44
  5. Step 5: Solve for x
    x = 102,880,843,156.44/148,538.25
  6. Step 6: Final answer
    x = 692,621.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.