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Finding the Third Proportional to 183,483 and 379,551.50

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Solution

The third proportional to 183,483 and 379,551.50 is: 785,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,483 : 379,551.50 = 379,551.50 : x
  2. Step 2: Convert to fraction form
    183,483/379,551.50 = 379,551.50/x
  3. Step 3: Cross multiply
    183,483x = 379,551.50 × 379,551.50
  4. Step 4: Simplify right side
    183,483x = 144,059,341,152.25
  5. Step 5: Solve for x
    x = 144,059,341,152.25/183,483
  6. Step 6: Final answer
    x = 785,137.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.