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Finding the Third Proportional to 152,289 and 224,019

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Solution

The third proportional to 152,289 and 224,019 is: 329,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,289 : 224,019 = 224,019 : x
  2. Step 2: Convert to fraction form
    152,289/224,019 = 224,019/x
  3. Step 3: Cross multiply
    152,289x = 224,019 × 224,019
  4. Step 4: Simplify right side
    152,289x = 50,184,512,361
  5. Step 5: Solve for x
    x = 50,184,512,361/152,289
  6. Step 6: Final answer
    x = 329,534.72

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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.