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Finding the Third Proportional to 134,152 and 276,944

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Solution

The third proportional to 134,152 and 276,944 is: 571,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,152 : 276,944 = 276,944 : x
  2. Step 2: Convert to fraction form
    134,152/276,944 = 276,944/x
  3. Step 3: Cross multiply
    134,152x = 276,944 × 276,944
  4. Step 4: Simplify right side
    134,152x = 76,697,979,136
  5. Step 5: Solve for x
    x = 76,697,979,136/134,152
  6. Step 6: Final answer
    x = 571,724.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.