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Finding the Third Proportional to 147,648 and 325,752

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Solution

The third proportional to 147,648 and 325,752 is: 718,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,648 : 325,752 = 325,752 : x
  2. Step 2: Convert to fraction form
    147,648/325,752 = 325,752/x
  3. Step 3: Cross multiply
    147,648x = 325,752 × 325,752
  4. Step 4: Simplify right side
    147,648x = 106,114,365,504
  5. Step 5: Solve for x
    x = 106,114,365,504/147,648
  6. Step 6: Final answer
    x = 718,698.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.