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Finding the Third Proportional to 194,853 and 292,306.50

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Solution

The third proportional to 194,853 and 292,306.50 is: 438,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853 : 292,306.50 = 292,306.50 : x
  2. Step 2: Convert to fraction form
    194,853/292,306.50 = 292,306.50/x
  3. Step 3: Cross multiply
    194,853x = 292,306.50 × 292,306.50
  4. Step 4: Simplify right side
    194,853x = 85,443,089,942.25
  5. Step 5: Solve for x
    x = 85,443,089,942.25/194,853
  6. Step 6: Final answer
    x = 438,500.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.