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Finding the Third Proportional to 182,493 and 390,206.25

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Solution

The third proportional to 182,493 and 390,206.25 is: 834,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,493 : 390,206.25 = 390,206.25 : x
  2. Step 2: Convert to fraction form
    182,493/390,206.25 = 390,206.25/x
  3. Step 3: Cross multiply
    182,493x = 390,206.25 × 390,206.25
  4. Step 4: Simplify right side
    182,493x = 152,260,917,539.06
  5. Step 5: Solve for x
    x = 152,260,917,539.06/182,493
  6. Step 6: Final answer
    x = 834,338.40

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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.