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Finding the Third Proportional to 150,498 and 326,943

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Solution

The third proportional to 150,498 and 326,943 is: 710,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,498 : 326,943 = 326,943 : x
  2. Step 2: Convert to fraction form
    150,498/326,943 = 326,943/x
  3. Step 3: Cross multiply
    150,498x = 326,943 × 326,943
  4. Step 4: Simplify right side
    150,498x = 106,891,725,249
  5. Step 5: Solve for x
    x = 106,891,725,249/150,498
  6. Step 6: Final answer
    x = 710,253.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.