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Finding the Third Proportional to 207,774.75 and 322,354.50

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Solution

The third proportional to 207,774.75 and 322,354.50 is: 500,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,774.75 : 322,354.50 = 322,354.50 : x
  2. Step 2: Convert to fraction form
    207,774.75/322,354.50 = 322,354.50/x
  3. Step 3: Cross multiply
    207,774.75x = 322,354.50 × 322,354.50
  4. Step 4: Simplify right side
    207,774.75x = 103,912,423,670.25
  5. Step 5: Solve for x
    x = 103,912,423,670.25/207,774.75
  6. Step 6: Final answer
    x = 500,120.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.