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Finding the Third Proportional to 104,580 and 248,490

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Solution

The third proportional to 104,580 and 248,490 is: 590,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,580 : 248,490 = 248,490 : x
  2. Step 2: Convert to fraction form
    104,580/248,490 = 248,490/x
  3. Step 3: Cross multiply
    104,580x = 248,490 × 248,490
  4. Step 4: Simplify right side
    104,580x = 61,747,280,100
  5. Step 5: Solve for x
    x = 61,747,280,100/104,580
  6. Step 6: Final answer
    x = 590,431.06

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.