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Finding the Third Proportional to 154,023 and 334,221

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Solution

The third proportional to 154,023 and 334,221 is: 725,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,023 : 334,221 = 334,221 : x
  2. Step 2: Convert to fraction form
    154,023/334,221 = 334,221/x
  3. Step 3: Cross multiply
    154,023x = 334,221 × 334,221
  4. Step 4: Simplify right side
    154,023x = 111,703,676,841
  5. Step 5: Solve for x
    x = 111,703,676,841/154,023
  6. Step 6: Final answer
    x = 725,240.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.