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Finding the Third Proportional to 116,669.43 and 254,457.07

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Solution

The third proportional to 116,669.43 and 254,457.07 is: 554,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,669.43 : 254,457.07 = 254,457.07 : x
  2. Step 2: Convert to fraction form
    116,669.43/254,457.07 = 254,457.07/x
  3. Step 3: Cross multiply
    116,669.43x = 254,457.07 × 254,457.07
  4. Step 4: Simplify right side
    116,669.43x = 64,748,400,632.02
  5. Step 5: Solve for x
    x = 64,748,400,632.02/116,669.43
  6. Step 6: Final answer
    x = 554,973.17

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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.