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Finding the Third Proportional to 210,854 and 337,236

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Solution

The third proportional to 210,854 and 337,236 is: 539,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,854 : 337,236 = 337,236 : x
  2. Step 2: Convert to fraction form
    210,854/337,236 = 337,236/x
  3. Step 3: Cross multiply
    210,854x = 337,236 × 337,236
  4. Step 4: Simplify right side
    210,854x = 113,728,119,696
  5. Step 5: Solve for x
    x = 113,728,119,696/210,854
  6. Step 6: Final answer
    x = 539,369.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.