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Finding the Third Proportional to 245,326 and 369,202

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Solution

The third proportional to 245,326 and 369,202 is: 555,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,326 : 369,202 = 369,202 : x
  2. Step 2: Convert to fraction form
    245,326/369,202 = 369,202/x
  3. Step 3: Cross multiply
    245,326x = 369,202 × 369,202
  4. Step 4: Simplify right side
    245,326x = 136,310,116,804
  5. Step 5: Solve for x
    x = 136,310,116,804/245,326
  6. Step 6: Final answer
    x = 555,628.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.