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Finding the Third Proportional to 301,185 and 466,357.50

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Solution

The third proportional to 301,185 and 466,357.50 is: 722,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,185 : 466,357.50 = 466,357.50 : x
  2. Step 2: Convert to fraction form
    301,185/466,357.50 = 466,357.50/x
  3. Step 3: Cross multiply
    301,185x = 466,357.50 × 466,357.50
  4. Step 4: Simplify right side
    301,185x = 217,489,317,806.25
  5. Step 5: Solve for x
    x = 217,489,317,806.25/301,185
  6. Step 6: Final answer
    x = 722,112.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.