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Finding the Third Proportional to 197,095.50 and 423,715.50

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Solution

The third proportional to 197,095.50 and 423,715.50 is: 910,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,095.50 : 423,715.50 = 423,715.50 : x
  2. Step 2: Convert to fraction form
    197,095.50/423,715.50 = 423,715.50/x
  3. Step 3: Cross multiply
    197,095.50x = 423,715.50 × 423,715.50
  4. Step 4: Simplify right side
    197,095.50x = 179,534,824,940.25
  5. Step 5: Solve for x
    x = 179,534,824,940.25/197,095.50
  6. Step 6: Final answer
    x = 910,902.71

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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.