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Finding the Third Proportional to 157,322.25 and 342,579.38

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Solution

The third proportional to 157,322.25 and 342,579.38 is: 745,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,322.25 : 342,579.38 = 342,579.38 : x
  2. Step 2: Convert to fraction form
    157,322.25/342,579.38 = 342,579.38/x
  3. Step 3: Cross multiply
    157,322.25x = 342,579.38 × 342,579.38
  4. Step 4: Simplify right side
    157,322.25x = 117,360,628,175.39
  5. Step 5: Solve for x
    x = 117,360,628,175.39/157,322.25
  6. Step 6: Final answer
    x = 745,988.75

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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.