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Finding the Third Proportional to 98,574 and 216,828

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Solution

The third proportional to 98,574 and 216,828 is: 476,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,574 : 216,828 = 216,828 : x
  2. Step 2: Convert to fraction form
    98,574/216,828 = 216,828/x
  3. Step 3: Cross multiply
    98,574x = 216,828 × 216,828
  4. Step 4: Simplify right side
    98,574x = 47,014,381,584
  5. Step 5: Solve for x
    x = 47,014,381,584/98,574
  6. Step 6: Final answer
    x = 476,945.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.