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Finding the Third Proportional to 233,144.50 and 360,018.50

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Solution

The third proportional to 233,144.50 and 360,018.50 is: 555,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,144.50 : 360,018.50 = 360,018.50 : x
  2. Step 2: Convert to fraction form
    233,144.50/360,018.50 = 360,018.50/x
  3. Step 3: Cross multiply
    233,144.50x = 360,018.50 × 360,018.50
  4. Step 4: Simplify right side
    233,144.50x = 129,613,320,342.25
  5. Step 5: Solve for x
    x = 129,613,320,342.25/233,144.50
  6. Step 6: Final answer
    x = 555,935.57

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