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Finding the Third Proportional to 102,980 and 240,590

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Solution

The third proportional to 102,980 and 240,590 is: 562,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980 : 240,590 = 240,590 : x
  2. Step 2: Convert to fraction form
    102,980/240,590 = 240,590/x
  3. Step 3: Cross multiply
    102,980x = 240,590 × 240,590
  4. Step 4: Simplify right side
    102,980x = 57,883,548,100
  5. Step 5: Solve for x
    x = 57,883,548,100/102,980
  6. Step 6: Final answer
    x = 562,085.34

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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.