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Finding the Third Proportional to 271,501.88 and 357,024.38

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Solution

The third proportional to 271,501.88 and 357,024.38 is: 469,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,501.88 : 357,024.38 = 357,024.38 : x
  2. Step 2: Convert to fraction form
    271,501.88/357,024.38 = 357,024.38/x
  3. Step 3: Cross multiply
    271,501.88x = 357,024.38 × 357,024.38
  4. Step 4: Simplify right side
    271,501.88x = 127,466,404,344.14
  5. Step 5: Solve for x
    x = 127,466,404,344.14/271,501.88
  6. Step 6: Final answer
    x = 469,486.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.