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Finding the Third Proportional to 88,782.75 and 209,553

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Solution

The third proportional to 88,782.75 and 209,553 is: 494,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,782.75 : 209,553 = 209,553 : x
  2. Step 2: Convert to fraction form
    88,782.75/209,553 = 209,553/x
  3. Step 3: Cross multiply
    88,782.75x = 209,553 × 209,553
  4. Step 4: Simplify right side
    88,782.75x = 43,912,459,809
  5. Step 5: Solve for x
    x = 43,912,459,809/88,782.75
  6. Step 6: Final answer
    x = 494,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.