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Finding the Third Proportional to 119,298 and 178,944

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Solution

The third proportional to 119,298 and 178,944 is: 268,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,298 : 178,944 = 178,944 : x
  2. Step 2: Convert to fraction form
    119,298/178,944 = 178,944/x
  3. Step 3: Cross multiply
    119,298x = 178,944 × 178,944
  4. Step 4: Simplify right side
    119,298x = 32,020,955,136
  5. Step 5: Solve for x
    x = 32,020,955,136/119,298
  6. Step 6: Final answer
    x = 268,411.50

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Why These Related Problems?

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