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Finding the Third Proportional to 145,182.38 and 307,992.38

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Solution

The third proportional to 145,182.38 and 307,992.38 is: 653,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,182.38 : 307,992.38 = 307,992.38 : x
  2. Step 2: Convert to fraction form
    145,182.38/307,992.38 = 307,992.38/x
  3. Step 3: Cross multiply
    145,182.38x = 307,992.38 × 307,992.38
  4. Step 4: Simplify right side
    145,182.38x = 94,859,303,058.14
  5. Step 5: Solve for x
    x = 94,859,303,058.14/145,182.38
  6. Step 6: Final answer
    x = 653,380.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.