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Finding the Third Proportional to 136,663.50 and 300,232.50

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Solution

The third proportional to 136,663.50 and 300,232.50 is: 659,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,663.50 : 300,232.50 = 300,232.50 : x
  2. Step 2: Convert to fraction form
    136,663.50/300,232.50 = 300,232.50/x
  3. Step 3: Cross multiply
    136,663.50x = 300,232.50 × 300,232.50
  4. Step 4: Simplify right side
    136,663.50x = 90,139,554,056.25
  5. Step 5: Solve for x
    x = 90,139,554,056.25/136,663.50
  6. Step 6: Final answer
    x = 659,573.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.