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Finding the Third Proportional to 102,984 and 240,600

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Solution

The third proportional to 102,984 and 240,600 is: 562,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,984 : 240,600 = 240,600 : x
  2. Step 2: Convert to fraction form
    102,984/240,600 = 240,600/x
  3. Step 3: Cross multiply
    102,984x = 240,600 × 240,600
  4. Step 4: Simplify right side
    102,984x = 57,888,360,000
  5. Step 5: Solve for x
    x = 57,888,360,000/102,984
  6. Step 6: Final answer
    x = 562,110.23

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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.