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Finding the Third Proportional to 177,052 and 388,592

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Solution

The third proportional to 177,052 and 388,592 is: 852,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,052 : 388,592 = 388,592 : x
  2. Step 2: Convert to fraction form
    177,052/388,592 = 388,592/x
  3. Step 3: Cross multiply
    177,052x = 388,592 × 388,592
  4. Step 4: Simplify right side
    177,052x = 151,003,742,464
  5. Step 5: Solve for x
    x = 151,003,742,464/177,052
  6. Step 6: Final answer
    x = 852,877.93

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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.