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Finding the Third Proportional to 166,092 and 389,927.50

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Solution

The third proportional to 166,092 and 389,927.50 is: 915,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,092 : 389,927.50 = 389,927.50 : x
  2. Step 2: Convert to fraction form
    166,092/389,927.50 = 389,927.50/x
  3. Step 3: Cross multiply
    166,092x = 389,927.50 × 389,927.50
  4. Step 4: Simplify right side
    166,092x = 152,043,455,256.25
  5. Step 5: Solve for x
    x = 152,043,455,256.25/166,092
  6. Step 6: Final answer
    x = 915,417.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.