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Finding the Third Proportional to 214,244 and 314,737

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Solution

The third proportional to 214,244 and 314,737 is: 462,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,244 : 314,737 = 314,737 : x
  2. Step 2: Convert to fraction form
    214,244/314,737 = 314,737/x
  3. Step 3: Cross multiply
    214,244x = 314,737 × 314,737
  4. Step 4: Simplify right side
    214,244x = 99,059,379,169
  5. Step 5: Solve for x
    x = 99,059,379,169/214,244
  6. Step 6: Final answer
    x = 462,367.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.