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Finding the Third Proportional to 116,426.25 and 254,646

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Solution

The third proportional to 116,426.25 and 254,646 is: 556,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,426.25 : 254,646 = 254,646 : x
  2. Step 2: Convert to fraction form
    116,426.25/254,646 = 254,646/x
  3. Step 3: Cross multiply
    116,426.25x = 254,646 × 254,646
  4. Step 4: Simplify right side
    116,426.25x = 64,844,585,316
  5. Step 5: Solve for x
    x = 64,844,585,316/116,426.25
  6. Step 6: Final answer
    x = 556,958.46

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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.