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Finding the Third Proportional to 177,172 and 238,688

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Solution

The third proportional to 177,172 and 238,688 is: 321,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,172 : 238,688 = 238,688 : x
  2. Step 2: Convert to fraction form
    177,172/238,688 = 238,688/x
  3. Step 3: Cross multiply
    177,172x = 238,688 × 238,688
  4. Step 4: Simplify right side
    177,172x = 56,971,961,344
  5. Step 5: Solve for x
    x = 56,971,961,344/177,172
  6. Step 6: Final answer
    x = 321,563.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.