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Finding the Third Proportional to 245,610 and 369,326

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Solution

The third proportional to 245,610 and 369,326 is: 555,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,610 : 369,326 = 369,326 : x
  2. Step 2: Convert to fraction form
    245,610/369,326 = 369,326/x
  3. Step 3: Cross multiply
    245,610x = 369,326 × 369,326
  4. Step 4: Simplify right side
    245,610x = 136,401,694,276
  5. Step 5: Solve for x
    x = 136,401,694,276/245,610
  6. Step 6: Final answer
    x = 555,358.88

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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.