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Finding the Third Proportional to 183,282.75 and 405,931.50

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Solution

The third proportional to 183,282.75 and 405,931.50 is: 899,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,282.75 : 405,931.50 = 405,931.50 : x
  2. Step 2: Convert to fraction form
    183,282.75/405,931.50 = 405,931.50/x
  3. Step 3: Cross multiply
    183,282.75x = 405,931.50 × 405,931.50
  4. Step 4: Simplify right side
    183,282.75x = 164,780,382,692.25
  5. Step 5: Solve for x
    x = 164,780,382,692.25/183,282.75
  6. Step 6: Final answer
    x = 899,050.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.