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Finding the Third Proportional to 245,784.38 and 370,407.94

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Solution

The third proportional to 245,784.38 and 370,407.94 is: 558,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,784.38 : 370,407.94 = 370,407.94 : x
  2. Step 2: Convert to fraction form
    245,784.38/370,407.94 = 370,407.94/x
  3. Step 3: Cross multiply
    245,784.38x = 370,407.94 × 370,407.94
  4. Step 4: Simplify right side
    245,784.38x = 137,202,040,163.00
  5. Step 5: Solve for x
    x = 137,202,040,163.00/245,784.38
  6. Step 6: Final answer
    x = 558,221.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.