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Finding the Third Proportional to 238,369 and 353,431

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Solution

The third proportional to 238,369 and 353,431 is: 524,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,369 : 353,431 = 353,431 : x
  2. Step 2: Convert to fraction form
    238,369/353,431 = 353,431/x
  3. Step 3: Cross multiply
    238,369x = 353,431 × 353,431
  4. Step 4: Simplify right side
    238,369x = 124,913,471,761
  5. Step 5: Solve for x
    x = 124,913,471,761/238,369
  6. Step 6: Final answer
    x = 524,034.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.