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Finding the Third Proportional to 183,497.25 and 389,046

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Solution

The third proportional to 183,497.25 and 389,046 is: 824,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,497.25 : 389,046 = 389,046 : x
  2. Step 2: Convert to fraction form
    183,497.25/389,046 = 389,046/x
  3. Step 3: Cross multiply
    183,497.25x = 389,046 × 389,046
  4. Step 4: Simplify right side
    183,497.25x = 151,356,790,116
  5. Step 5: Solve for x
    x = 151,356,790,116/183,497.25
  6. Step 6: Final answer
    x = 824,845.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.