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Finding the Third Proportional to 98,594 and 214,802

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Solution

The third proportional to 98,594 and 214,802 is: 467,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,594 : 214,802 = 214,802 : x
  2. Step 2: Convert to fraction form
    98,594/214,802 = 214,802/x
  3. Step 3: Cross multiply
    98,594x = 214,802 × 214,802
  4. Step 4: Simplify right side
    98,594x = 46,139,899,204
  5. Step 5: Solve for x
    x = 46,139,899,204/98,594
  6. Step 6: Final answer
    x = 467,978.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.