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Finding the Third Proportional to 147,567 and 326,145

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Solution

The third proportional to 147,567 and 326,145 is: 720,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,567 : 326,145 = 326,145 : x
  2. Step 2: Convert to fraction form
    147,567/326,145 = 326,145/x
  3. Step 3: Cross multiply
    147,567x = 326,145 × 326,145
  4. Step 4: Simplify right side
    147,567x = 106,370,561,025
  5. Step 5: Solve for x
    x = 106,370,561,025/147,567
  6. Step 6: Final answer
    x = 720,828.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.