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Finding the Third Proportional to 152,212 and 243,078

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Solution

The third proportional to 152,212 and 243,078 is: 388,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212 : 243,078 = 243,078 : x
  2. Step 2: Convert to fraction form
    152,212/243,078 = 243,078/x
  3. Step 3: Cross multiply
    152,212x = 243,078 × 243,078
  4. Step 4: Simplify right side
    152,212x = 59,086,914,084
  5. Step 5: Solve for x
    x = 59,086,914,084/152,212
  6. Step 6: Final answer
    x = 388,188.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.