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Finding the Third Proportional to 183,829.50 and 253,143.50

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Solution

The third proportional to 183,829.50 and 253,143.50 is: 348,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,829.50 : 253,143.50 = 253,143.50 : x
  2. Step 2: Convert to fraction form
    183,829.50/253,143.50 = 253,143.50/x
  3. Step 3: Cross multiply
    183,829.50x = 253,143.50 × 253,143.50
  4. Step 4: Simplify right side
    183,829.50x = 64,081,631,592.25
  5. Step 5: Solve for x
    x = 64,081,631,592.25/183,829.50
  6. Step 6: Final answer
    x = 348,592.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.