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Finding the Third Proportional to 148,548.94 and 320,770.13

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Solution

The third proportional to 148,548.94 and 320,770.13 is: 692,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,548.94 : 320,770.13 = 320,770.13 : x
  2. Step 2: Convert to fraction form
    148,548.94/320,770.13 = 320,770.13/x
  3. Step 3: Cross multiply
    148,548.94x = 320,770.13 × 320,770.13
  4. Step 4: Simplify right side
    148,548.94x = 102,893,473,092.52
  5. Step 5: Solve for x
    x = 102,893,473,092.52/148,548.94
  6. Step 6: Final answer
    x = 692,657.08

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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.