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Finding the Third Proportional to 158,560 and 342,607

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Solution

The third proportional to 158,560 and 342,607 is: 740,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,560 : 342,607 = 342,607 : x
  2. Step 2: Convert to fraction form
    158,560/342,607 = 342,607/x
  3. Step 3: Cross multiply
    158,560x = 342,607 × 342,607
  4. Step 4: Simplify right side
    158,560x = 117,379,556,449
  5. Step 5: Solve for x
    x = 117,379,556,449/158,560
  6. Step 6: Final answer
    x = 740,284.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.