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Finding the Third Proportional to 162,243 and 346,904

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Solution

The third proportional to 162,243 and 346,904 is: 741,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,243 : 346,904 = 346,904 : x
  2. Step 2: Convert to fraction form
    162,243/346,904 = 346,904/x
  3. Step 3: Cross multiply
    162,243x = 346,904 × 346,904
  4. Step 4: Simplify right side
    162,243x = 120,342,385,216
  5. Step 5: Solve for x
    x = 120,342,385,216/162,243
  6. Step 6: Final answer
    x = 741,741.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.