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Finding the Third Proportional to 94,998 and 200,724

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Solution

The third proportional to 94,998 and 200,724 is: 424,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,998 : 200,724 = 200,724 : x
  2. Step 2: Convert to fraction form
    94,998/200,724 = 200,724/x
  3. Step 3: Cross multiply
    94,998x = 200,724 × 200,724
  4. Step 4: Simplify right side
    94,998x = 40,290,124,176
  5. Step 5: Solve for x
    x = 40,290,124,176/94,998
  6. Step 6: Final answer
    x = 424,115.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.