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Finding the Third Proportional to 186,134.50 and 403,760

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Solution

The third proportional to 186,134.50 and 403,760 is: 875,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,134.50 : 403,760 = 403,760 : x
  2. Step 2: Convert to fraction form
    186,134.50/403,760 = 403,760/x
  3. Step 3: Cross multiply
    186,134.50x = 403,760 × 403,760
  4. Step 4: Simplify right side
    186,134.50x = 163,022,137,600
  5. Step 5: Solve for x
    x = 163,022,137,600/186,134.50
  6. Step 6: Final answer
    x = 875,829.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.