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Finding the Third Proportional to 149,838 and 210,774

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Solution

The third proportional to 149,838 and 210,774 is: 296,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,838 : 210,774 = 210,774 : x
  2. Step 2: Convert to fraction form
    149,838/210,774 = 210,774/x
  3. Step 3: Cross multiply
    149,838x = 210,774 × 210,774
  4. Step 4: Simplify right side
    149,838x = 44,425,679,076
  5. Step 5: Solve for x
    x = 44,425,679,076/149,838
  6. Step 6: Final answer
    x = 296,491.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.