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Finding the Third Proportional to 247,104 and 375,984

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Solution

The third proportional to 247,104 and 375,984 is: 572,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,104 : 375,984 = 375,984 : x
  2. Step 2: Convert to fraction form
    247,104/375,984 = 375,984/x
  3. Step 3: Cross multiply
    247,104x = 375,984 × 375,984
  4. Step 4: Simplify right side
    247,104x = 141,363,968,256
  5. Step 5: Solve for x
    x = 141,363,968,256/247,104
  6. Step 6: Final answer
    x = 572,082.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.