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Finding the Third Proportional to 162,658 and 346,052

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Solution

The third proportional to 162,658 and 346,052 is: 736,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,658 : 346,052 = 346,052 : x
  2. Step 2: Convert to fraction form
    162,658/346,052 = 346,052/x
  3. Step 3: Cross multiply
    162,658x = 346,052 × 346,052
  4. Step 4: Simplify right side
    162,658x = 119,751,986,704
  5. Step 5: Solve for x
    x = 119,751,986,704/162,658
  6. Step 6: Final answer
    x = 736,219.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.