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Finding the Third Proportional to 151,004.25 and 328,978.13

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Solution

The third proportional to 151,004.25 and 328,978.13 is: 716,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,004.25 : 328,978.13 = 328,978.13 : x
  2. Step 2: Convert to fraction form
    151,004.25/328,978.13 = 328,978.13/x
  3. Step 3: Cross multiply
    151,004.25x = 328,978.13 × 328,978.13
  4. Step 4: Simplify right side
    151,004.25x = 108,226,606,728.52
  5. Step 5: Solve for x
    x = 108,226,606,728.52/151,004.25
  6. Step 6: Final answer
    x = 716,712.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.