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Finding the Third Proportional to 98,784 and 216,324

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Solution

The third proportional to 98,784 and 216,324 is: 473,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784 : 216,324 = 216,324 : x
  2. Step 2: Convert to fraction form
    98,784/216,324 = 216,324/x
  3. Step 3: Cross multiply
    98,784x = 216,324 × 216,324
  4. Step 4: Simplify right side
    98,784x = 46,796,072,976
  5. Step 5: Solve for x
    x = 46,796,072,976/98,784
  6. Step 6: Final answer
    x = 473,721.18

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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.