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Finding the Third Proportional to 148,402 and 222,603

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Solution

The third proportional to 148,402 and 222,603 is: 333,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,402 : 222,603 = 222,603 : x
  2. Step 2: Convert to fraction form
    148,402/222,603 = 222,603/x
  3. Step 3: Cross multiply
    148,402x = 222,603 × 222,603
  4. Step 4: Simplify right side
    148,402x = 49,552,095,609
  5. Step 5: Solve for x
    x = 49,552,095,609/148,402
  6. Step 6: Final answer
    x = 333,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.