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Finding the Third Proportional to 119,079.28 and 256,854.38

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Solution

The third proportional to 119,079.28 and 256,854.38 is: 554,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,079.28 : 256,854.38 = 256,854.38 : x
  2. Step 2: Convert to fraction form
    119,079.28/256,854.38 = 256,854.38/x
  3. Step 3: Cross multiply
    119,079.28x = 256,854.38 × 256,854.38
  4. Step 4: Simplify right side
    119,079.28x = 65,974,169,956.64
  5. Step 5: Solve for x
    x = 65,974,169,956.64/119,079.28
  6. Step 6: Final answer
    x = 554,035.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.