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Finding the Third Proportional to 245,940 and 333,798

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Solution

The third proportional to 245,940 and 333,798 is: 453,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,940 : 333,798 = 333,798 : x
  2. Step 2: Convert to fraction form
    245,940/333,798 = 333,798/x
  3. Step 3: Cross multiply
    245,940x = 333,798 × 333,798
  4. Step 4: Simplify right side
    245,940x = 111,421,104,804
  5. Step 5: Solve for x
    x = 111,421,104,804/245,940
  6. Step 6: Final answer
    x = 453,041.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.