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Finding the Third Proportional to 98,280 and 210,583

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Solution

The third proportional to 98,280 and 210,583 is: 451,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,280 : 210,583 = 210,583 : x
  2. Step 2: Convert to fraction form
    98,280/210,583 = 210,583/x
  3. Step 3: Cross multiply
    98,280x = 210,583 × 210,583
  4. Step 4: Simplify right side
    98,280x = 44,345,199,889
  5. Step 5: Solve for x
    x = 44,345,199,889/98,280
  6. Step 6: Final answer
    x = 451,212.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.