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Finding the Third Proportional to 153,329 and 335,818

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Solution

The third proportional to 153,329 and 335,818 is: 735,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,329 : 335,818 = 335,818 : x
  2. Step 2: Convert to fraction form
    153,329/335,818 = 335,818/x
  3. Step 3: Cross multiply
    153,329x = 335,818 × 335,818
  4. Step 4: Simplify right side
    153,329x = 112,773,729,124
  5. Step 5: Solve for x
    x = 112,773,729,124/153,329
  6. Step 6: Final answer
    x = 735,501.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.