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Finding the Third Proportional to 182,648.25 and 390,507.75

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Solution

The third proportional to 182,648.25 and 390,507.75 is: 834,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,648.25 : 390,507.75 = 390,507.75 : x
  2. Step 2: Convert to fraction form
    182,648.25/390,507.75 = 390,507.75/x
  3. Step 3: Cross multiply
    182,648.25x = 390,507.75 × 390,507.75
  4. Step 4: Simplify right side
    182,648.25x = 152,496,302,810.06
  5. Step 5: Solve for x
    x = 152,496,302,810.06/182,648.25
  6. Step 6: Final answer
    x = 834,917.95

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