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Finding the Third Proportional to 116,530.69 and 253,819.31

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Solution

The third proportional to 116,530.69 and 253,819.31 is: 552,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,530.69 : 253,819.31 = 253,819.31 : x
  2. Step 2: Convert to fraction form
    116,530.69/253,819.31 = 253,819.31/x
  3. Step 3: Cross multiply
    116,530.69x = 253,819.31 × 253,819.31
  4. Step 4: Simplify right side
    116,530.69x = 64,424,243,397.97
  5. Step 5: Solve for x
    x = 64,424,243,397.97/116,530.69
  6. Step 6: Final answer
    x = 552,852.17

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