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Finding the Third Proportional to 148,146 and 211,701

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Solution

The third proportional to 148,146 and 211,701 is: 302,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,146 : 211,701 = 211,701 : x
  2. Step 2: Convert to fraction form
    148,146/211,701 = 211,701/x
  3. Step 3: Cross multiply
    148,146x = 211,701 × 211,701
  4. Step 4: Simplify right side
    148,146x = 44,817,313,401
  5. Step 5: Solve for x
    x = 44,817,313,401/148,146
  6. Step 6: Final answer
    x = 302,521.25

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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.