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Finding the Third Proportional to 156,463.88 and 320,366.25

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Solution

The third proportional to 156,463.88 and 320,366.25 is: 655,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,463.88 : 320,366.25 = 320,366.25 : x
  2. Step 2: Convert to fraction form
    156,463.88/320,366.25 = 320,366.25/x
  3. Step 3: Cross multiply
    156,463.88x = 320,366.25 × 320,366.25
  4. Step 4: Simplify right side
    156,463.88x = 102,634,534,139.06
  5. Step 5: Solve for x
    x = 102,634,534,139.06/156,463.88
  6. Step 6: Final answer
    x = 655,963.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.