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Finding the Third Proportional to 153,261 and 334,112

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Solution

The third proportional to 153,261 and 334,112 is: 728,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,261 : 334,112 = 334,112 : x
  2. Step 2: Convert to fraction form
    153,261/334,112 = 334,112/x
  3. Step 3: Cross multiply
    153,261x = 334,112 × 334,112
  4. Step 4: Simplify right side
    153,261x = 111,630,828,544
  5. Step 5: Solve for x
    x = 111,630,828,544/153,261
  6. Step 6: Final answer
    x = 728,370.74

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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.