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Finding the Third Proportional to 151,405 and 328,567.25

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Solution

The third proportional to 151,405 and 328,567.25 is: 713,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,405 : 328,567.25 = 328,567.25 : x
  2. Step 2: Convert to fraction form
    151,405/328,567.25 = 328,567.25/x
  3. Step 3: Cross multiply
    151,405x = 328,567.25 × 328,567.25
  4. Step 4: Simplify right side
    151,405x = 107,956,437,772.56
  5. Step 5: Solve for x
    x = 107,956,437,772.56/151,405
  6. Step 6: Final answer
    x = 713,030.86

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