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Finding the Third Proportional to 147,636 and 346,614

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Solution

The third proportional to 147,636 and 346,614 is: 813,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,636 : 346,614 = 346,614 : x
  2. Step 2: Convert to fraction form
    147,636/346,614 = 346,614/x
  3. Step 3: Cross multiply
    147,636x = 346,614 × 346,614
  4. Step 4: Simplify right side
    147,636x = 120,141,264,996
  5. Step 5: Solve for x
    x = 120,141,264,996/147,636
  6. Step 6: Final answer
    x = 813,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.