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Finding the Third Proportional to 145,566 and 231,471

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Solution

The third proportional to 145,566 and 231,471 is: 368,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,566 : 231,471 = 231,471 : x
  2. Step 2: Convert to fraction form
    145,566/231,471 = 231,471/x
  3. Step 3: Cross multiply
    145,566x = 231,471 × 231,471
  4. Step 4: Simplify right side
    145,566x = 53,578,823,841
  5. Step 5: Solve for x
    x = 53,578,823,841/145,566
  6. Step 6: Final answer
    x = 368,072.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.