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Finding the Third Proportional to 152,415 and 226,415

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Solution

The third proportional to 152,415 and 226,415 is: 336,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,415 : 226,415 = 226,415 : x
  2. Step 2: Convert to fraction form
    152,415/226,415 = 226,415/x
  3. Step 3: Cross multiply
    152,415x = 226,415 × 226,415
  4. Step 4: Simplify right side
    152,415x = 51,263,752,225
  5. Step 5: Solve for x
    x = 51,263,752,225/152,415
  6. Step 6: Final answer
    x = 336,343.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.