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Finding the Third Proportional to 233,147 and 360,008

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Solution

The third proportional to 233,147 and 360,008 is: 555,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147 : 360,008 = 360,008 : x
  2. Step 2: Convert to fraction form
    233,147/360,008 = 360,008/x
  3. Step 3: Cross multiply
    233,147x = 360,008 × 360,008
  4. Step 4: Simplify right side
    233,147x = 129,605,760,064
  5. Step 5: Solve for x
    x = 129,605,760,064/233,147
  6. Step 6: Final answer
    x = 555,897.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.