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Finding the Third Proportional to 183,022.50 and 427,585.50

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Solution

The third proportional to 183,022.50 and 427,585.50 is: 998,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,022.50 : 427,585.50 = 427,585.50 : x
  2. Step 2: Convert to fraction form
    183,022.50/427,585.50 = 427,585.50/x
  3. Step 3: Cross multiply
    183,022.50x = 427,585.50 × 427,585.50
  4. Step 4: Simplify right side
    183,022.50x = 182,829,359,810.25
  5. Step 5: Solve for x
    x = 182,829,359,810.25/183,022.50
  6. Step 6: Final answer
    x = 998,944.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.