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Finding the Third Proportional to 98,576 and 216,224

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Solution

The third proportional to 98,576 and 216,224 is: 474,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576 : 216,224 = 216,224 : x
  2. Step 2: Convert to fraction form
    98,576/216,224 = 216,224/x
  3. Step 3: Cross multiply
    98,576x = 216,224 × 216,224
  4. Step 4: Simplify right side
    98,576x = 46,752,818,176
  5. Step 5: Solve for x
    x = 46,752,818,176/98,576
  6. Step 6: Final answer
    x = 474,281.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.