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Finding the Third Proportional to 197,335.50 and 427,935

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Solution

The third proportional to 197,335.50 and 427,935 is: 928,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,335.50 : 427,935 = 427,935 : x
  2. Step 2: Convert to fraction form
    197,335.50/427,935 = 427,935/x
  3. Step 3: Cross multiply
    197,335.50x = 427,935 × 427,935
  4. Step 4: Simplify right side
    197,335.50x = 183,128,364,225
  5. Step 5: Solve for x
    x = 183,128,364,225/197,335.50
  6. Step 6: Final answer
    x = 928,005.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.