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Finding the Third Proportional to 148,062 and 211,017

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Solution

The third proportional to 148,062 and 211,017 is: 300,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,062 : 211,017 = 211,017 : x
  2. Step 2: Convert to fraction form
    148,062/211,017 = 211,017/x
  3. Step 3: Cross multiply
    148,062x = 211,017 × 211,017
  4. Step 4: Simplify right side
    148,062x = 44,528,174,289
  5. Step 5: Solve for x
    x = 44,528,174,289/148,062
  6. Step 6: Final answer
    x = 300,740.06

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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.