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Finding the Third Proportional to 177,106 and 382,200

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Solution

The third proportional to 177,106 and 382,200 is: 824,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,106 : 382,200 = 382,200 : x
  2. Step 2: Convert to fraction form
    177,106/382,200 = 382,200/x
  3. Step 3: Cross multiply
    177,106x = 382,200 × 382,200
  4. Step 4: Simplify right side
    177,106x = 146,076,840,000
  5. Step 5: Solve for x
    x = 146,076,840,000/177,106
  6. Step 6: Final answer
    x = 824,798.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.