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Finding the Third Proportional to 245,578.50 and 366,853.50

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Solution

The third proportional to 245,578.50 and 366,853.50 is: 548,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,578.50 : 366,853.50 = 366,853.50 : x
  2. Step 2: Convert to fraction form
    245,578.50/366,853.50 = 366,853.50/x
  3. Step 3: Cross multiply
    245,578.50x = 366,853.50 × 366,853.50
  4. Step 4: Simplify right side
    245,578.50x = 134,581,490,462.25
  5. Step 5: Solve for x
    x = 134,581,490,462.25/245,578.50
  6. Step 6: Final answer
    x = 548,018.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.