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Finding the Third Proportional to 189,461.53 and 405,182.25

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Solution

The third proportional to 189,461.53 and 405,182.25 is: 866,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,461.53 : 405,182.25 = 405,182.25 : x
  2. Step 2: Convert to fraction form
    189,461.53/405,182.25 = 405,182.25/x
  3. Step 3: Cross multiply
    189,461.53x = 405,182.25 × 405,182.25
  4. Step 4: Simplify right side
    189,461.53x = 164,172,655,715.06
  5. Step 5: Solve for x
    x = 164,172,655,715.06/189,461.53
  6. Step 6: Final answer
    x = 866,522.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.