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Finding the Third Proportional to 116,403.50 and 255,668

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Solution

The third proportional to 116,403.50 and 255,668 is: 561,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,403.50 : 255,668 = 255,668 : x
  2. Step 2: Convert to fraction form
    116,403.50/255,668 = 255,668/x
  3. Step 3: Cross multiply
    116,403.50x = 255,668 × 255,668
  4. Step 4: Simplify right side
    116,403.50x = 65,366,126,224
  5. Step 5: Solve for x
    x = 65,366,126,224/116,403.50
  6. Step 6: Final answer
    x = 561,547.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.