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Finding the Third Proportional to 147,807 and 335,071

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Solution

The third proportional to 147,807 and 335,071 is: 759,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,807 : 335,071 = 335,071 : x
  2. Step 2: Convert to fraction form
    147,807/335,071 = 335,071/x
  3. Step 3: Cross multiply
    147,807x = 335,071 × 335,071
  4. Step 4: Simplify right side
    147,807x = 112,272,575,041
  5. Step 5: Solve for x
    x = 112,272,575,041/147,807
  6. Step 6: Final answer
    x = 759,589.03

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.