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Finding the Third Proportional to 197,005.50 and 296,966.25

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Solution

The third proportional to 197,005.50 and 296,966.25 is: 447,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,005.50 : 296,966.25 = 296,966.25 : x
  2. Step 2: Convert to fraction form
    197,005.50/296,966.25 = 296,966.25/x
  3. Step 3: Cross multiply
    197,005.50x = 296,966.25 × 296,966.25
  4. Step 4: Simplify right side
    197,005.50x = 88,188,953,639.06
  5. Step 5: Solve for x
    x = 88,188,953,639.06/197,005.50
  6. Step 6: Final answer
    x = 447,647.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.