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Finding the Third Proportional to 230,089.50 and 492,966

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Solution

The third proportional to 230,089.50 and 492,966 is: 1,056,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,089.50 : 492,966 = 492,966 : x
  2. Step 2: Convert to fraction form
    230,089.50/492,966 = 492,966/x
  3. Step 3: Cross multiply
    230,089.50x = 492,966 × 492,966
  4. Step 4: Simplify right side
    230,089.50x = 243,015,477,156
  5. Step 5: Solve for x
    x = 243,015,477,156/230,089.50
  6. Step 6: Final answer
    x = 1,056,178.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.