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Finding the Third Proportional to 98,475 and 214,772

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Solution

The third proportional to 98,475 and 214,772 is: 468,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,475 : 214,772 = 214,772 : x
  2. Step 2: Convert to fraction form
    98,475/214,772 = 214,772/x
  3. Step 3: Cross multiply
    98,475x = 214,772 × 214,772
  4. Step 4: Simplify right side
    98,475x = 46,127,011,984
  5. Step 5: Solve for x
    x = 46,127,011,984/98,475
  6. Step 6: Final answer
    x = 468,413.42

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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.