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Finding the Third Proportional to 150,020 and 326,344

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Solution

The third proportional to 150,020 and 326,344 is: 709,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,020 : 326,344 = 326,344 : x
  2. Step 2: Convert to fraction form
    150,020/326,344 = 326,344/x
  3. Step 3: Cross multiply
    150,020x = 326,344 × 326,344
  4. Step 4: Simplify right side
    150,020x = 106,500,406,336
  5. Step 5: Solve for x
    x = 106,500,406,336/150,020
  6. Step 6: Final answer
    x = 709,908.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.