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Finding the Third Proportional to 183,541.50 and 376,966.50

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Solution

The third proportional to 183,541.50 and 376,966.50 is: 774,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,541.50 : 376,966.50 = 376,966.50 : x
  2. Step 2: Convert to fraction form
    183,541.50/376,966.50 = 376,966.50/x
  3. Step 3: Cross multiply
    183,541.50x = 376,966.50 × 376,966.50
  4. Step 4: Simplify right side
    183,541.50x = 142,103,742,122.25
  5. Step 5: Solve for x
    x = 142,103,742,122.25/183,541.50
  6. Step 6: Final answer
    x = 774,232.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.