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Finding the Third Proportional to 162,998 and 340,900

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Solution

The third proportional to 162,998 and 340,900 is: 712,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,998 : 340,900 = 340,900 : x
  2. Step 2: Convert to fraction form
    162,998/340,900 = 340,900/x
  3. Step 3: Cross multiply
    162,998x = 340,900 × 340,900
  4. Step 4: Simplify right side
    162,998x = 116,212,810,000
  5. Step 5: Solve for x
    x = 116,212,810,000/162,998
  6. Step 6: Final answer
    x = 712,970.77

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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.