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Finding the Third Proportional to 104,643 and 232,533

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Solution

The third proportional to 104,643 and 232,533 is: 516,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,643 : 232,533 = 232,533 : x
  2. Step 2: Convert to fraction form
    104,643/232,533 = 232,533/x
  3. Step 3: Cross multiply
    104,643x = 232,533 × 232,533
  4. Step 4: Simplify right side
    104,643x = 54,071,596,089
  5. Step 5: Solve for x
    x = 54,071,596,089/104,643
  6. Step 6: Final answer
    x = 516,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.