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Finding the Third Proportional to 105,905.25 and 232,802.25

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Solution

The third proportional to 105,905.25 and 232,802.25 is: 511,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905.25 : 232,802.25 = 232,802.25 : x
  2. Step 2: Convert to fraction form
    105,905.25/232,802.25 = 232,802.25/x
  3. Step 3: Cross multiply
    105,905.25x = 232,802.25 × 232,802.25
  4. Step 4: Simplify right side
    105,905.25x = 54,196,887,605.06
  5. Step 5: Solve for x
    x = 54,196,887,605.06/105,905.25
  6. Step 6: Final answer
    x = 511,748.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.