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Finding the Third Proportional to 104,046 and 245,526

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Solution

The third proportional to 104,046 and 245,526 is: 579,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,046 : 245,526 = 245,526 : x
  2. Step 2: Convert to fraction form
    104,046/245,526 = 245,526/x
  3. Step 3: Cross multiply
    104,046x = 245,526 × 245,526
  4. Step 4: Simplify right side
    104,046x = 60,283,016,676
  5. Step 5: Solve for x
    x = 60,283,016,676/104,046
  6. Step 6: Final answer
    x = 579,388.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.