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Finding the Third Proportional to 152,709.75 and 224,615.25

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Solution

The third proportional to 152,709.75 and 224,615.25 is: 330,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709.75 : 224,615.25 = 224,615.25 : x
  2. Step 2: Convert to fraction form
    152,709.75/224,615.25 = 224,615.25/x
  3. Step 3: Cross multiply
    152,709.75x = 224,615.25 × 224,615.25
  4. Step 4: Simplify right side
    152,709.75x = 50,452,010,532.56
  5. Step 5: Solve for x
    x = 50,452,010,532.56/152,709.75
  6. Step 6: Final answer
    x = 330,378.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.