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Finding the Third Proportional to 153,537.75 and 332,225.25

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Solution

The third proportional to 153,537.75 and 332,225.25 is: 718,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,537.75 : 332,225.25 = 332,225.25 : x
  2. Step 2: Convert to fraction form
    153,537.75/332,225.25 = 332,225.25/x
  3. Step 3: Cross multiply
    153,537.75x = 332,225.25 × 332,225.25
  4. Step 4: Simplify right side
    153,537.75x = 110,373,616,737.56
  5. Step 5: Solve for x
    x = 110,373,616,737.56/153,537.75
  6. Step 6: Final answer
    x = 718,869.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.