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Finding the Third Proportional to 116,673.75 and 254,465.25

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Solution

The third proportional to 116,673.75 and 254,465.25 is: 554,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,673.75 : 254,465.25 = 254,465.25 : x
  2. Step 2: Convert to fraction form
    116,673.75/254,465.25 = 254,465.25/x
  3. Step 3: Cross multiply
    116,673.75x = 254,465.25 × 254,465.25
  4. Step 4: Simplify right side
    116,673.75x = 64,752,563,457.56
  5. Step 5: Solve for x
    x = 64,752,563,457.56/116,673.75
  6. Step 6: Final answer
    x = 554,988.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.