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Finding the Third Proportional to 153,027.50 and 333,153.50

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Solution

The third proportional to 153,027.50 and 333,153.50 is: 725,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027.50 : 333,153.50 = 333,153.50 : x
  2. Step 2: Convert to fraction form
    153,027.50/333,153.50 = 333,153.50/x
  3. Step 3: Cross multiply
    153,027.50x = 333,153.50 × 333,153.50
  4. Step 4: Simplify right side
    153,027.50x = 110,991,254,562.25
  5. Step 5: Solve for x
    x = 110,991,254,562.25/153,027.50
  6. Step 6: Final answer
    x = 725,302.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.