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Finding the Third Proportional to 153,022.50 and 324,229.50

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Solution

The third proportional to 153,022.50 and 324,229.50 is: 686,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.50 : 324,229.50 = 324,229.50 : x
  2. Step 2: Convert to fraction form
    153,022.50/324,229.50 = 324,229.50/x
  3. Step 3: Cross multiply
    153,022.50x = 324,229.50 × 324,229.50
  4. Step 4: Simplify right side
    153,022.50x = 105,124,768,670.25
  5. Step 5: Solve for x
    x = 105,124,768,670.25/153,022.50
  6. Step 6: Final answer
    x = 686,988.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.