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Finding the Third Proportional to 153,718 and 336,596

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Solution

The third proportional to 153,718 and 336,596 is: 737,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,718 : 336,596 = 336,596 : x
  2. Step 2: Convert to fraction form
    153,718/336,596 = 336,596/x
  3. Step 3: Cross multiply
    153,718x = 336,596 × 336,596
  4. Step 4: Simplify right side
    153,718x = 113,296,867,216
  5. Step 5: Solve for x
    x = 113,296,867,216/153,718
  6. Step 6: Final answer
    x = 737,043.59

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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.