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Finding the Third Proportional to 157,832 and 346,768

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Solution

The third proportional to 157,832 and 346,768 is: 761,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832 : 346,768 = 346,768 : x
  2. Step 2: Convert to fraction form
    157,832/346,768 = 346,768/x
  3. Step 3: Cross multiply
    157,832x = 346,768 × 346,768
  4. Step 4: Simplify right side
    157,832x = 120,248,045,824
  5. Step 5: Solve for x
    x = 120,248,045,824/157,832
  6. Step 6: Final answer
    x = 761,873.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.