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Finding the Third Proportional to 135,966.09 and 293,551.59

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Solution

The third proportional to 135,966.09 and 293,551.59 is: 633,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,966.09 : 293,551.59 = 293,551.59 : x
  2. Step 2: Convert to fraction form
    135,966.09/293,551.59 = 293,551.59/x
  3. Step 3: Cross multiply
    135,966.09x = 293,551.59 × 293,551.59
  4. Step 4: Simplify right side
    135,966.09x = 86,172,538,193.17
  5. Step 5: Solve for x
    x = 86,172,538,193.17/135,966.09
  6. Step 6: Final answer
    x = 633,779.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.