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Finding the Third Proportional to 74,256.75 and 157,322.25

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Solution

The third proportional to 74,256.75 and 157,322.25 is: 333,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,256.75 : 157,322.25 = 157,322.25 : x
  2. Step 2: Convert to fraction form
    74,256.75/157,322.25 = 157,322.25/x
  3. Step 3: Cross multiply
    74,256.75x = 157,322.25 × 157,322.25
  4. Step 4: Simplify right side
    74,256.75x = 24,750,290,345.06
  5. Step 5: Solve for x
    x = 24,750,290,345.06/74,256.75
  6. Step 6: Final answer
    x = 333,306.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.