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Finding the Third Proportional to 147,440.25 and 319,848.75

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Solution

The third proportional to 147,440.25 and 319,848.75 is: 693,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,440.25 : 319,848.75 = 319,848.75 : x
  2. Step 2: Convert to fraction form
    147,440.25/319,848.75 = 319,848.75/x
  3. Step 3: Cross multiply
    147,440.25x = 319,848.75 × 319,848.75
  4. Step 4: Simplify right side
    147,440.25x = 102,303,222,876.56
  5. Step 5: Solve for x
    x = 102,303,222,876.56/147,440.25
  6. Step 6: Final answer
    x = 693,862.25

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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.