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Finding the Third Proportional to 148,848 and 212,202

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Solution

The third proportional to 148,848 and 212,202 is: 302,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,848 : 212,202 = 212,202 : x
  2. Step 2: Convert to fraction form
    148,848/212,202 = 212,202/x
  3. Step 3: Cross multiply
    148,848x = 212,202 × 212,202
  4. Step 4: Simplify right side
    148,848x = 45,029,688,804
  5. Step 5: Solve for x
    x = 45,029,688,804/148,848
  6. Step 6: Final answer
    x = 302,521.29

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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.