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Finding the Third Proportional to 197,754.75 and 409,528.50

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Solution

The third proportional to 197,754.75 and 409,528.50 is: 848,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,754.75 : 409,528.50 = 409,528.50 : x
  2. Step 2: Convert to fraction form
    197,754.75/409,528.50 = 409,528.50/x
  3. Step 3: Cross multiply
    197,754.75x = 409,528.50 × 409,528.50
  4. Step 4: Simplify right side
    197,754.75x = 167,713,592,312.25
  5. Step 5: Solve for x
    x = 167,713,592,312.25/197,754.75
  6. Step 6: Final answer
    x = 848,088.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.