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Finding the Third Proportional to 148,244.63 and 319,003.88

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Solution

The third proportional to 148,244.63 and 319,003.88 is: 686,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,244.63 : 319,003.88 = 319,003.88 : x
  2. Step 2: Convert to fraction form
    148,244.63/319,003.88 = 319,003.88/x
  3. Step 3: Cross multiply
    148,244.63x = 319,003.88 × 319,003.88
  4. Step 4: Simplify right side
    148,244.63x = 101,763,472,265.02
  5. Step 5: Solve for x
    x = 101,763,472,265.02/148,244.63
  6. Step 6: Final answer
    x = 686,456.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.