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Finding the Third Proportional to 152,158 and 222,603

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Solution

The third proportional to 152,158 and 222,603 is: 325,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,158 : 222,603 = 222,603 : x
  2. Step 2: Convert to fraction form
    152,158/222,603 = 222,603/x
  3. Step 3: Cross multiply
    152,158x = 222,603 × 222,603
  4. Step 4: Simplify right side
    152,158x = 49,552,095,609
  5. Step 5: Solve for x
    x = 49,552,095,609/152,158
  6. Step 6: Final answer
    x = 325,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.