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Finding the Third Proportional to 115,278 and 176,415

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Solution

The third proportional to 115,278 and 176,415 is: 269,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,278 : 176,415 = 176,415 : x
  2. Step 2: Convert to fraction form
    115,278/176,415 = 176,415/x
  3. Step 3: Cross multiply
    115,278x = 176,415 × 176,415
  4. Step 4: Simplify right side
    115,278x = 31,122,252,225
  5. Step 5: Solve for x
    x = 31,122,252,225/115,278
  6. Step 6: Final answer
    x = 269,975.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.