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Finding the Third Proportional to 230,092.50 and 492,972

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Solution

The third proportional to 230,092.50 and 492,972 is: 1,056,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092.50 : 492,972 = 492,972 : x
  2. Step 2: Convert to fraction form
    230,092.50/492,972 = 492,972/x
  3. Step 3: Cross multiply
    230,092.50x = 492,972 × 492,972
  4. Step 4: Simplify right side
    230,092.50x = 243,021,392,784
  5. Step 5: Solve for x
    x = 243,021,392,784/230,092.50
  6. Step 6: Final answer
    x = 1,056,189.98

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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.