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Finding the Third Proportional to 233,160.75 and 360,045

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Solution

The third proportional to 233,160.75 and 360,045 is: 555,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 360,045 = 360,045 : x
  2. Step 2: Convert to fraction form
    233,160.75/360,045 = 360,045/x
  3. Step 3: Cross multiply
    233,160.75x = 360,045 × 360,045
  4. Step 4: Simplify right side
    233,160.75x = 129,632,402,025
  5. Step 5: Solve for x
    x = 129,632,402,025/233,160.75
  6. Step 6: Final answer
    x = 555,978.66

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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.