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Finding the Third Proportional to 158,015 and 345,590

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Solution

The third proportional to 158,015 and 345,590 is: 755,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,015 : 345,590 = 345,590 : x
  2. Step 2: Convert to fraction form
    158,015/345,590 = 345,590/x
  3. Step 3: Cross multiply
    158,015x = 345,590 × 345,590
  4. Step 4: Simplify right side
    158,015x = 119,432,448,100
  5. Step 5: Solve for x
    x = 119,432,448,100/158,015
  6. Step 6: Final answer
    x = 755,829.81

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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.