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Finding the Third Proportional to 102,977 and 240,582

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Solution

The third proportional to 102,977 and 240,582 is: 562,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,977 : 240,582 = 240,582 : x
  2. Step 2: Convert to fraction form
    102,977/240,582 = 240,582/x
  3. Step 3: Cross multiply
    102,977x = 240,582 × 240,582
  4. Step 4: Simplify right side
    102,977x = 57,879,698,724
  5. Step 5: Solve for x
    x = 57,879,698,724/102,977
  6. Step 6: Final answer
    x = 562,064.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.