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Finding the Third Proportional to 148,734 and 304,716

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Solution

The third proportional to 148,734 and 304,716 is: 624,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,734 : 304,716 = 304,716 : x
  2. Step 2: Convert to fraction form
    148,734/304,716 = 304,716/x
  3. Step 3: Cross multiply
    148,734x = 304,716 × 304,716
  4. Step 4: Simplify right side
    148,734x = 92,851,840,656
  5. Step 5: Solve for x
    x = 92,851,840,656/148,734
  6. Step 6: Final answer
    x = 624,281.20

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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.