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Finding the Third Proportional to 181,260 and 388,773

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Solution

The third proportional to 181,260 and 388,773 is: 833,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,260 : 388,773 = 388,773 : x
  2. Step 2: Convert to fraction form
    181,260/388,773 = 388,773/x
  3. Step 3: Cross multiply
    181,260x = 388,773 × 388,773
  4. Step 4: Simplify right side
    181,260x = 151,144,445,529
  5. Step 5: Solve for x
    x = 151,144,445,529/181,260
  6. Step 6: Final answer
    x = 833,854.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.