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Finding the Third Proportional to 160,415 and 224,263

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Solution

The third proportional to 160,415 and 224,263 is: 313,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,415 : 224,263 = 224,263 : x
  2. Step 2: Convert to fraction form
    160,415/224,263 = 224,263/x
  3. Step 3: Cross multiply
    160,415x = 224,263 × 224,263
  4. Step 4: Simplify right side
    160,415x = 50,293,893,169
  5. Step 5: Solve for x
    x = 50,293,893,169/160,415
  6. Step 6: Final answer
    x = 313,523.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.