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Finding the Third Proportional to 155,094 and 334,947

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Solution

The third proportional to 155,094 and 334,947 is: 723,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,094 : 334,947 = 334,947 : x
  2. Step 2: Convert to fraction form
    155,094/334,947 = 334,947/x
  3. Step 3: Cross multiply
    155,094x = 334,947 × 334,947
  4. Step 4: Simplify right side
    155,094x = 112,189,492,809
  5. Step 5: Solve for x
    x = 112,189,492,809/155,094
  6. Step 6: Final answer
    x = 723,364.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.