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Finding the Third Proportional to 169,496.91 and 230,197.78

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Solution

The third proportional to 169,496.91 and 230,197.78 is: 312,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496.91 : 230,197.78 = 230,197.78 : x
  2. Step 2: Convert to fraction form
    169,496.91/230,197.78 = 230,197.78/x
  3. Step 3: Cross multiply
    169,496.91x = 230,197.78 × 230,197.78
  4. Step 4: Simplify right side
    169,496.91x = 52,991,018,492.42
  5. Step 5: Solve for x
    x = 52,991,018,492.42/169,496.91
  6. Step 6: Final answer
    x = 312,637.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.