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Finding the Third Proportional to 158,774 and 342,476

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Solution

The third proportional to 158,774 and 342,476 is: 738,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,774 : 342,476 = 342,476 : x
  2. Step 2: Convert to fraction form
    158,774/342,476 = 342,476/x
  3. Step 3: Cross multiply
    158,774x = 342,476 × 342,476
  4. Step 4: Simplify right side
    158,774x = 117,289,810,576
  5. Step 5: Solve for x
    x = 117,289,810,576/158,774
  6. Step 6: Final answer
    x = 738,721.77

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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.