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Finding the Third Proportional to 102,976 and 240,580

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Solution

The third proportional to 102,976 and 240,580 is: 562,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,976 : 240,580 = 240,580 : x
  2. Step 2: Convert to fraction form
    102,976/240,580 = 240,580/x
  3. Step 3: Cross multiply
    102,976x = 240,580 × 240,580
  4. Step 4: Simplify right side
    102,976x = 57,878,736,400
  5. Step 5: Solve for x
    x = 57,878,736,400/102,976
  6. Step 6: Final answer
    x = 562,060.45

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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.