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Finding the Third Proportional to 140,304.94 and 307,774.13

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Solution

The third proportional to 140,304.94 and 307,774.13 is: 675,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,304.94 : 307,774.13 = 307,774.13 : x
  2. Step 2: Convert to fraction form
    140,304.94/307,774.13 = 307,774.13/x
  3. Step 3: Cross multiply
    140,304.94x = 307,774.13 × 307,774.13
  4. Step 4: Simplify right side
    140,304.94x = 94,724,912,019.52
  5. Step 5: Solve for x
    x = 94,724,912,019.52/140,304.94
  6. Step 6: Final answer
    x = 675,135.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.