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Finding the Third Proportional to 148,700 and 304,648

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Solution

The third proportional to 148,700 and 304,648 is: 624,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,700 : 304,648 = 304,648 : x
  2. Step 2: Convert to fraction form
    148,700/304,648 = 304,648/x
  3. Step 3: Cross multiply
    148,700x = 304,648 × 304,648
  4. Step 4: Simplify right side
    148,700x = 92,810,403,904
  5. Step 5: Solve for x
    x = 92,810,403,904/148,700
  6. Step 6: Final answer
    x = 624,145.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.