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Finding the Third Proportional to 130,167 and 270,702

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Solution

The third proportional to 130,167 and 270,702 is: 562,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167 : 270,702 = 270,702 : x
  2. Step 2: Convert to fraction form
    130,167/270,702 = 270,702/x
  3. Step 3: Cross multiply
    130,167x = 270,702 × 270,702
  4. Step 4: Simplify right side
    130,167x = 73,279,572,804
  5. Step 5: Solve for x
    x = 73,279,572,804/130,167
  6. Step 6: Final answer
    x = 562,965.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.