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Finding the Third Proportional to 158,820 and 340,674

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Solution

The third proportional to 158,820 and 340,674 is: 730,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,820 : 340,674 = 340,674 : x
  2. Step 2: Convert to fraction form
    158,820/340,674 = 340,674/x
  3. Step 3: Cross multiply
    158,820x = 340,674 × 340,674
  4. Step 4: Simplify right side
    158,820x = 116,058,774,276
  5. Step 5: Solve for x
    x = 116,058,774,276/158,820
  6. Step 6: Final answer
    x = 730,756.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.