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Finding the Third Proportional to 231,492.94 and 307,243.13

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Solution

The third proportional to 231,492.94 and 307,243.13 is: 407,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,492.94 : 307,243.13 = 307,243.13 : x
  2. Step 2: Convert to fraction form
    231,492.94/307,243.13 = 307,243.13/x
  3. Step 3: Cross multiply
    231,492.94x = 307,243.13 × 307,243.13
  4. Step 4: Simplify right side
    231,492.94x = 94,398,337,859.77
  5. Step 5: Solve for x
    x = 94,398,337,859.77/231,492.94
  6. Step 6: Final answer
    x = 407,780.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.