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Finding the Third Proportional to 142,908.38 and 301,854.75

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Solution

The third proportional to 142,908.38 and 301,854.75 is: 637,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,908.38 : 301,854.75 = 301,854.75 : x
  2. Step 2: Convert to fraction form
    142,908.38/301,854.75 = 301,854.75/x
  3. Step 3: Cross multiply
    142,908.38x = 301,854.75 × 301,854.75
  4. Step 4: Simplify right side
    142,908.38x = 91,116,290,097.56
  5. Step 5: Solve for x
    x = 91,116,290,097.56/142,908.38
  6. Step 6: Final answer
    x = 637,585.38

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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.