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Finding the Third Proportional to 245,805 and 336,400.50

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Solution

The third proportional to 245,805 and 336,400.50 is: 460,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,805 : 336,400.50 = 336,400.50 : x
  2. Step 2: Convert to fraction form
    245,805/336,400.50 = 336,400.50/x
  3. Step 3: Cross multiply
    245,805x = 336,400.50 × 336,400.50
  4. Step 4: Simplify right side
    245,805x = 113,165,296,400.25
  5. Step 5: Solve for x
    x = 113,165,296,400.25/245,805
  6. Step 6: Final answer
    x = 460,386.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.