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Finding the Third Proportional to 245,572 and 369,268

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Solution

The third proportional to 245,572 and 369,268 is: 555,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,572 : 369,268 = 369,268 : x
  2. Step 2: Convert to fraction form
    245,572/369,268 = 369,268/x
  3. Step 3: Cross multiply
    245,572x = 369,268 × 369,268
  4. Step 4: Simplify right side
    245,572x = 136,358,855,824
  5. Step 5: Solve for x
    x = 136,358,855,824/245,572
  6. Step 6: Final answer
    x = 555,270.37

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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.