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Finding the Third Proportional to 152,188 and 234,222

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Solution

The third proportional to 152,188 and 234,222 is: 360,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,188 : 234,222 = 234,222 : x
  2. Step 2: Convert to fraction form
    152,188/234,222 = 234,222/x
  3. Step 3: Cross multiply
    152,188x = 234,222 × 234,222
  4. Step 4: Simplify right side
    152,188x = 54,859,945,284
  5. Step 5: Solve for x
    x = 54,859,945,284/152,188
  6. Step 6: Final answer
    x = 360,474.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.