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Finding the Third Proportional to 162,819 and 233,293

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Solution

The third proportional to 162,819 and 233,293 is: 334,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,819 : 233,293 = 233,293 : x
  2. Step 2: Convert to fraction form
    162,819/233,293 = 233,293/x
  3. Step 3: Cross multiply
    162,819x = 233,293 × 233,293
  4. Step 4: Simplify right side
    162,819x = 54,425,623,849
  5. Step 5: Solve for x
    x = 54,425,623,849/162,819
  6. Step 6: Final answer
    x = 334,270.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.