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Finding the Third Proportional to 177,488 and 384,516

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Solution

The third proportional to 177,488 and 384,516 is: 833,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,488 : 384,516 = 384,516 : x
  2. Step 2: Convert to fraction form
    177,488/384,516 = 384,516/x
  3. Step 3: Cross multiply
    177,488x = 384,516 × 384,516
  4. Step 4: Simplify right side
    177,488x = 147,852,554,256
  5. Step 5: Solve for x
    x = 147,852,554,256/177,488
  6. Step 6: Final answer
    x = 833,028.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.