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Finding the Third Proportional to 147,291 and 230,415

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Solution

The third proportional to 147,291 and 230,415 is: 360,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,291 : 230,415 = 230,415 : x
  2. Step 2: Convert to fraction form
    147,291/230,415 = 230,415/x
  3. Step 3: Cross multiply
    147,291x = 230,415 × 230,415
  4. Step 4: Simplify right side
    147,291x = 53,091,072,225
  5. Step 5: Solve for x
    x = 53,091,072,225/147,291
  6. Step 6: Final answer
    x = 360,450.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.