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Finding the Third Proportional to 144,004 and 222,020

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Solution

The third proportional to 144,004 and 222,020 is: 342,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,004 : 222,020 = 222,020 : x
  2. Step 2: Convert to fraction form
    144,004/222,020 = 222,020/x
  3. Step 3: Cross multiply
    144,004x = 222,020 × 222,020
  4. Step 4: Simplify right side
    144,004x = 49,292,880,400
  5. Step 5: Solve for x
    x = 49,292,880,400/144,004
  6. Step 6: Final answer
    x = 342,302.16

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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.