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Finding the Third Proportional to 134,963.96 and 312,446.98

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Solution

The third proportional to 134,963.96 and 312,446.98 is: 723,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,963.96 : 312,446.98 = 312,446.98 : x
  2. Step 2: Convert to fraction form
    134,963.96/312,446.98 = 312,446.98/x
  3. Step 3: Cross multiply
    134,963.96x = 312,446.98 × 312,446.98
  4. Step 4: Simplify right side
    134,963.96x = 97,623,114,993.80
  5. Step 5: Solve for x
    x = 97,623,114,993.80/134,963.96
  6. Step 6: Final answer
    x = 723,327.31

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.