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Finding the Third Proportional to 98,471 and 237,407

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Solution

The third proportional to 98,471 and 237,407 is: 572,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471 : 237,407 = 237,407 : x
  2. Step 2: Convert to fraction form
    98,471/237,407 = 237,407/x
  3. Step 3: Cross multiply
    98,471x = 237,407 × 237,407
  4. Step 4: Simplify right side
    98,471x = 56,362,083,649
  5. Step 5: Solve for x
    x = 56,362,083,649/98,471
  6. Step 6: Final answer
    x = 572,372.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.