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Finding the Third Proportional to 98,588 and 213,784

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Solution

The third proportional to 98,588 and 213,784 is: 463,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,588 : 213,784 = 213,784 : x
  2. Step 2: Convert to fraction form
    98,588/213,784 = 213,784/x
  3. Step 3: Cross multiply
    98,588x = 213,784 × 213,784
  4. Step 4: Simplify right side
    98,588x = 45,703,598,656
  5. Step 5: Solve for x
    x = 45,703,598,656/98,588
  6. Step 6: Final answer
    x = 463,581.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.