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Finding the Third Proportional to 147,752 and 326,608

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Solution

The third proportional to 147,752 and 326,608 is: 721,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,752 : 326,608 = 326,608 : x
  2. Step 2: Convert to fraction form
    147,752/326,608 = 326,608/x
  3. Step 3: Cross multiply
    147,752x = 326,608 × 326,608
  4. Step 4: Simplify right side
    147,752x = 106,672,785,664
  5. Step 5: Solve for x
    x = 106,672,785,664/147,752
  6. Step 6: Final answer
    x = 721,971.86

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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.