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Finding the Third Proportional to 159,710 and 347,752

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Solution

The third proportional to 159,710 and 347,752 is: 757,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,710 : 347,752 = 347,752 : x
  2. Step 2: Convert to fraction form
    159,710/347,752 = 347,752/x
  3. Step 3: Cross multiply
    159,710x = 347,752 × 347,752
  4. Step 4: Simplify right side
    159,710x = 120,931,453,504
  5. Step 5: Solve for x
    x = 120,931,453,504/159,710
  6. Step 6: Final answer
    x = 757,194.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.