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Finding the Third Proportional to 154,708 and 337,596

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Solution

The third proportional to 154,708 and 337,596 is: 736,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,708 : 337,596 = 337,596 : x
  2. Step 2: Convert to fraction form
    154,708/337,596 = 337,596/x
  3. Step 3: Cross multiply
    154,708x = 337,596 × 337,596
  4. Step 4: Simplify right side
    154,708x = 113,971,059,216
  5. Step 5: Solve for x
    x = 113,971,059,216/154,708
  6. Step 6: Final answer
    x = 736,684.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.