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Finding the Third Proportional to 141,699.38 and 299,394.56

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Solution

The third proportional to 141,699.38 and 299,394.56 is: 632,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,699.38 : 299,394.56 = 299,394.56 : x
  2. Step 2: Convert to fraction form
    141,699.38/299,394.56 = 299,394.56/x
  3. Step 3: Cross multiply
    141,699.38x = 299,394.56 × 299,394.56
  4. Step 4: Simplify right side
    141,699.38x = 89,637,104,054.57
  5. Step 5: Solve for x
    x = 89,637,104,054.57/141,699.38
  6. Step 6: Final answer
    x = 632,586.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.