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Finding the Third Proportional to 152,697 and 224,484.75

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Solution

The third proportional to 152,697 and 224,484.75 is: 330,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,697 : 224,484.75 = 224,484.75 : x
  2. Step 2: Convert to fraction form
    152,697/224,484.75 = 224,484.75/x
  3. Step 3: Cross multiply
    152,697x = 224,484.75 × 224,484.75
  4. Step 4: Simplify right side
    152,697x = 50,393,402,982.56
  5. Step 5: Solve for x
    x = 50,393,402,982.56/152,697
  6. Step 6: Final answer
    x = 330,022.22

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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.