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Finding the Third Proportional to 194,594.06 and 423,266.34

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Solution

The third proportional to 194,594.06 and 423,266.34 is: 920,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,594.06 : 423,266.34 = 423,266.34 : x
  2. Step 2: Convert to fraction form
    194,594.06/423,266.34 = 423,266.34/x
  3. Step 3: Cross multiply
    194,594.06x = 423,266.34 × 423,266.34
  4. Step 4: Simplify right side
    194,594.06x = 179,154,397,751.49
  5. Step 5: Solve for x
    x = 179,154,397,751.49/194,594.06
  6. Step 6: Final answer
    x = 920,657.06

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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.