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Finding the Third Proportional to 183,458.50 and 291,863.50

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Solution

The third proportional to 183,458.50 and 291,863.50 is: 464,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,458.50 : 291,863.50 = 291,863.50 : x
  2. Step 2: Convert to fraction form
    183,458.50/291,863.50 = 291,863.50/x
  3. Step 3: Cross multiply
    183,458.50x = 291,863.50 × 291,863.50
  4. Step 4: Simplify right side
    183,458.50x = 85,184,302,632.25
  5. Step 5: Solve for x
    x = 85,184,302,632.25/183,458.50
  6. Step 6: Final answer
    x = 464,324.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.