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Finding the Third Proportional to 147,914 and 323,476

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Solution

The third proportional to 147,914 and 323,476 is: 707,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,914 : 323,476 = 323,476 : x
  2. Step 2: Convert to fraction form
    147,914/323,476 = 323,476/x
  3. Step 3: Cross multiply
    147,914x = 323,476 × 323,476
  4. Step 4: Simplify right side
    147,914x = 104,636,722,576
  5. Step 5: Solve for x
    x = 104,636,722,576/147,914
  6. Step 6: Final answer
    x = 707,415.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.