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Finding the Third Proportional to 152,972 and 224,956

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Solution

The third proportional to 152,972 and 224,956 is: 330,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,972 : 224,956 = 224,956 : x
  2. Step 2: Convert to fraction form
    152,972/224,956 = 224,956/x
  3. Step 3: Cross multiply
    152,972x = 224,956 × 224,956
  4. Step 4: Simplify right side
    152,972x = 50,605,201,936
  5. Step 5: Solve for x
    x = 50,605,201,936/152,972
  6. Step 6: Final answer
    x = 330,813.49

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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.