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Finding the Third Proportional to 98,460 and 213,388

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Solution

The third proportional to 98,460 and 213,388 is: 462,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,460 : 213,388 = 213,388 : x
  2. Step 2: Convert to fraction form
    98,460/213,388 = 213,388/x
  3. Step 3: Cross multiply
    98,460x = 213,388 × 213,388
  4. Step 4: Simplify right side
    98,460x = 45,534,438,544
  5. Step 5: Solve for x
    x = 45,534,438,544/98,460
  6. Step 6: Final answer
    x = 462,466.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.