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Finding the Third Proportional to 161,004 and 353,112

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Solution

The third proportional to 161,004 and 353,112 is: 774,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,004 : 353,112 = 353,112 : x
  2. Step 2: Convert to fraction form
    161,004/353,112 = 353,112/x
  3. Step 3: Cross multiply
    161,004x = 353,112 × 353,112
  4. Step 4: Simplify right side
    161,004x = 124,688,084,544
  5. Step 5: Solve for x
    x = 124,688,084,544/161,004
  6. Step 6: Final answer
    x = 774,440.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.