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Finding the Third Proportional to 159,052 and 346,686

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Solution

The third proportional to 159,052 and 346,686 is: 755,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,052 : 346,686 = 346,686 : x
  2. Step 2: Convert to fraction form
    159,052/346,686 = 346,686/x
  3. Step 3: Cross multiply
    159,052x = 346,686 × 346,686
  4. Step 4: Simplify right side
    159,052x = 120,191,182,596
  5. Step 5: Solve for x
    x = 120,191,182,596/159,052
  6. Step 6: Final answer
    x = 755,672.25

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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.