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Finding the Third Proportional to 130,348 and 194,944

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Solution

The third proportional to 130,348 and 194,944 is: 291,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,348 : 194,944 = 194,944 : x
  2. Step 2: Convert to fraction form
    130,348/194,944 = 194,944/x
  3. Step 3: Cross multiply
    130,348x = 194,944 × 194,944
  4. Step 4: Simplify right side
    130,348x = 38,003,163,136
  5. Step 5: Solve for x
    x = 38,003,163,136/130,348
  6. Step 6: Final answer
    x = 291,551.56

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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.