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Finding the Third Proportional to 259,031.36 and 369,171.58

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Solution

The third proportional to 259,031.36 and 369,171.58 is: 526,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,031.36 : 369,171.58 = 369,171.58 : x
  2. Step 2: Convert to fraction form
    259,031.36/369,171.58 = 369,171.58/x
  3. Step 3: Cross multiply
    259,031.36x = 369,171.58 × 369,171.58
  4. Step 4: Simplify right side
    259,031.36x = 136,287,655,537.38
  5. Step 5: Solve for x
    x = 136,287,655,537.38/259,031.36
  6. Step 6: Final answer
    x = 526,143.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.