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Finding the Third Proportional to 162,929.25 and 340,746.75

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Solution

The third proportional to 162,929.25 and 340,746.75 is: 712,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,929.25 : 340,746.75 = 340,746.75 : x
  2. Step 2: Convert to fraction form
    162,929.25/340,746.75 = 340,746.75/x
  3. Step 3: Cross multiply
    162,929.25x = 340,746.75 × 340,746.75
  4. Step 4: Simplify right side
    162,929.25x = 116,108,347,635.56
  5. Step 5: Solve for x
    x = 116,108,347,635.56/162,929.25
  6. Step 6: Final answer
    x = 712,630.47

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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.