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Finding the Third Proportional to 162,928.69 and 340,754.06

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Solution

The third proportional to 162,928.69 and 340,754.06 is: 712,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,928.69 : 340,754.06 = 340,754.06 : x
  2. Step 2: Convert to fraction form
    162,928.69/340,754.06 = 340,754.06/x
  3. Step 3: Cross multiply
    162,928.69x = 340,754.06 × 340,754.06
  4. Step 4: Simplify right side
    162,928.69x = 116,113,331,110.25
  5. Step 5: Solve for x
    x = 116,113,331,110.25/162,928.69
  6. Step 6: Final answer
    x = 712,663.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.