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Finding the Third Proportional to 170,819 and 243,337

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Solution

The third proportional to 170,819 and 243,337 is: 346,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,819 : 243,337 = 243,337 : x
  2. Step 2: Convert to fraction form
    170,819/243,337 = 243,337/x
  3. Step 3: Cross multiply
    170,819x = 243,337 × 243,337
  4. Step 4: Simplify right side
    170,819x = 59,212,895,569
  5. Step 5: Solve for x
    x = 59,212,895,569/170,819
  6. Step 6: Final answer
    x = 346,641.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.