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Finding the Third Proportional to 148,166 and 211,726

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Solution

The third proportional to 148,166 and 211,726 is: 302,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,166 : 211,726 = 211,726 : x
  2. Step 2: Convert to fraction form
    148,166/211,726 = 211,726/x
  3. Step 3: Cross multiply
    148,166x = 211,726 × 211,726
  4. Step 4: Simplify right side
    148,166x = 44,827,899,076
  5. Step 5: Solve for x
    x = 44,827,899,076/148,166
  6. Step 6: Final answer
    x = 302,551.86

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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.