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Finding the Third Proportional to 229,888 and 501,160

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Solution

The third proportional to 229,888 and 501,160 is: 1,092,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,888 : 501,160 = 501,160 : x
  2. Step 2: Convert to fraction form
    229,888/501,160 = 501,160/x
  3. Step 3: Cross multiply
    229,888x = 501,160 × 501,160
  4. Step 4: Simplify right side
    229,888x = 251,161,345,600
  5. Step 5: Solve for x
    x = 251,161,345,600/229,888
  6. Step 6: Final answer
    x = 1,092,537.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.