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Finding the Third Proportional to 245,728.69 and 370,849.22

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Solution

The third proportional to 245,728.69 and 370,849.22 is: 559,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,728.69 : 370,849.22 = 370,849.22 : x
  2. Step 2: Convert to fraction form
    245,728.69/370,849.22 = 370,849.22/x
  3. Step 3: Cross multiply
    245,728.69x = 370,849.22 × 370,849.22
  4. Step 4: Simplify right side
    245,728.69x = 137,529,143,047.49
  5. Step 5: Solve for x
    x = 137,529,143,047.49/245,728.69
  6. Step 6: Final answer
    x = 559,678.82

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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.