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Finding the Third Proportional to 197,640 and 432,186

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Solution

The third proportional to 197,640 and 432,186 is: 945,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,640 : 432,186 = 432,186 : x
  2. Step 2: Convert to fraction form
    197,640/432,186 = 432,186/x
  3. Step 3: Cross multiply
    197,640x = 432,186 × 432,186
  4. Step 4: Simplify right side
    197,640x = 186,784,738,596
  5. Step 5: Solve for x
    x = 186,784,738,596/197,640
  6. Step 6: Final answer
    x = 945,075.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.