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Finding the Third Proportional to 154,532 and 357,743

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Solution

The third proportional to 154,532 and 357,743 is: 828,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,532 : 357,743 = 357,743 : x
  2. Step 2: Convert to fraction form
    154,532/357,743 = 357,743/x
  3. Step 3: Cross multiply
    154,532x = 357,743 × 357,743
  4. Step 4: Simplify right side
    154,532x = 127,980,054,049
  5. Step 5: Solve for x
    x = 127,980,054,049/154,532
  6. Step 6: Final answer
    x = 828,178.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.