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Finding the Third Proportional to 183,078.50 and 385,840

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Solution

The third proportional to 183,078.50 and 385,840 is: 813,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,078.50 : 385,840 = 385,840 : x
  2. Step 2: Convert to fraction form
    183,078.50/385,840 = 385,840/x
  3. Step 3: Cross multiply
    183,078.50x = 385,840 × 385,840
  4. Step 4: Simplify right side
    183,078.50x = 148,872,505,600
  5. Step 5: Solve for x
    x = 148,872,505,600/183,078.50
  6. Step 6: Final answer
    x = 813,162.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.