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Finding the Third Proportional to 163,221 and 346,035

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Solution

The third proportional to 163,221 and 346,035 is: 733,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,221 : 346,035 = 346,035 : x
  2. Step 2: Convert to fraction form
    163,221/346,035 = 346,035/x
  3. Step 3: Cross multiply
    163,221x = 346,035 × 346,035
  4. Step 4: Simplify right side
    163,221x = 119,740,221,225
  5. Step 5: Solve for x
    x = 119,740,221,225/163,221
  6. Step 6: Final answer
    x = 733,607.94

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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.