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Finding the Third Proportional to 147,798 and 325,122

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Solution

The third proportional to 147,798 and 325,122 is: 715,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798 : 325,122 = 325,122 : x
  2. Step 2: Convert to fraction form
    147,798/325,122 = 325,122/x
  3. Step 3: Cross multiply
    147,798x = 325,122 × 325,122
  4. Step 4: Simplify right side
    147,798x = 105,704,314,884
  5. Step 5: Solve for x
    x = 105,704,314,884/147,798
  6. Step 6: Final answer
    x = 715,194.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.