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Finding the Third Proportional to 332,140.50 and 468,043.50

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Solution

The third proportional to 332,140.50 and 468,043.50 is: 659,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,140.50 : 468,043.50 = 468,043.50 : x
  2. Step 2: Convert to fraction form
    332,140.50/468,043.50 = 468,043.50/x
  3. Step 3: Cross multiply
    332,140.50x = 468,043.50 × 468,043.50
  4. Step 4: Simplify right side
    332,140.50x = 219,064,717,892.25
  5. Step 5: Solve for x
    x = 219,064,717,892.25/332,140.50
  6. Step 6: Final answer
    x = 659,554.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.