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Finding the Third Proportional to 134,969.63 and 295,363.13

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Solution

The third proportional to 134,969.63 and 295,363.13 is: 646,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,969.63 : 295,363.13 = 295,363.13 : x
  2. Step 2: Convert to fraction form
    134,969.63/295,363.13 = 295,363.13/x
  3. Step 3: Cross multiply
    134,969.63x = 295,363.13 × 295,363.13
  4. Step 4: Simplify right side
    134,969.63x = 87,239,375,609.77
  5. Step 5: Solve for x
    x = 87,239,375,609.77/134,969.63
  6. Step 6: Final answer
    x = 646,363.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.