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Finding the Third Proportional to 157,752 and 340,941

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Solution

The third proportional to 157,752 and 340,941 is: 736,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,752 : 340,941 = 340,941 : x
  2. Step 2: Convert to fraction form
    157,752/340,941 = 340,941/x
  3. Step 3: Cross multiply
    157,752x = 340,941 × 340,941
  4. Step 4: Simplify right side
    157,752x = 116,240,765,481
  5. Step 5: Solve for x
    x = 116,240,765,481/157,752
  6. Step 6: Final answer
    x = 736,857.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.