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Finding the Third Proportional to 94,998 and 207,628

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Solution

The third proportional to 94,998 and 207,628 is: 453,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,998 : 207,628 = 207,628 : x
  2. Step 2: Convert to fraction form
    94,998/207,628 = 207,628/x
  3. Step 3: Cross multiply
    94,998x = 207,628 × 207,628
  4. Step 4: Simplify right side
    94,998x = 43,109,386,384
  5. Step 5: Solve for x
    x = 43,109,386,384/94,998
  6. Step 6: Final answer
    x = 453,792.57

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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.