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Finding the Third Proportional to 163,238 and 346,076

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Solution

The third proportional to 163,238 and 346,076 is: 733,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,238 : 346,076 = 346,076 : x
  2. Step 2: Convert to fraction form
    163,238/346,076 = 346,076/x
  3. Step 3: Cross multiply
    163,238x = 346,076 × 346,076
  4. Step 4: Simplify right side
    163,238x = 119,768,597,776
  5. Step 5: Solve for x
    x = 119,768,597,776/163,238
  6. Step 6: Final answer
    x = 733,705.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.