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Finding the Third Proportional to 171,445 and 371,078

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Solution

The third proportional to 171,445 and 371,078 is: 803,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,445 : 371,078 = 371,078 : x
  2. Step 2: Convert to fraction form
    171,445/371,078 = 371,078/x
  3. Step 3: Cross multiply
    171,445x = 371,078 × 371,078
  4. Step 4: Simplify right side
    171,445x = 137,698,882,084
  5. Step 5: Solve for x
    x = 137,698,882,084/171,445
  6. Step 6: Final answer
    x = 803,166.51

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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.