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Finding the Third Proportional to 194,773 and 292,280

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Solution

The third proportional to 194,773 and 292,280 is: 438,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773 : 292,280 = 292,280 : x
  2. Step 2: Convert to fraction form
    194,773/292,280 = 292,280/x
  3. Step 3: Cross multiply
    194,773x = 292,280 × 292,280
  4. Step 4: Simplify right side
    194,773x = 85,427,598,400
  5. Step 5: Solve for x
    x = 85,427,598,400/194,773
  6. Step 6: Final answer
    x = 438,600.82

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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.