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Finding the Third Proportional to 171,798.50 and 348,213

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Solution

The third proportional to 171,798.50 and 348,213 is: 705,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,798.50 : 348,213 = 348,213 : x
  2. Step 2: Convert to fraction form
    171,798.50/348,213 = 348,213/x
  3. Step 3: Cross multiply
    171,798.50x = 348,213 × 348,213
  4. Step 4: Simplify right side
    171,798.50x = 121,252,293,369
  5. Step 5: Solve for x
    x = 121,252,293,369/171,798.50
  6. Step 6: Final answer
    x = 705,782.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.