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Finding the Third Proportional to 158,004 and 345,570

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Solution

The third proportional to 158,004 and 345,570 is: 755,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,004 : 345,570 = 345,570 : x
  2. Step 2: Convert to fraction form
    158,004/345,570 = 345,570/x
  3. Step 3: Cross multiply
    158,004x = 345,570 × 345,570
  4. Step 4: Simplify right side
    158,004x = 119,418,624,900
  5. Step 5: Solve for x
    x = 119,418,624,900/158,004
  6. Step 6: Final answer
    x = 755,794.95

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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.