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Finding the Third Proportional to 233,158.88 and 360,036.75

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Solution

The third proportional to 233,158.88 and 360,036.75 is: 555,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,158.88 : 360,036.75 = 360,036.75 : x
  2. Step 2: Convert to fraction form
    233,158.88/360,036.75 = 360,036.75/x
  3. Step 3: Cross multiply
    233,158.88x = 360,036.75 × 360,036.75
  4. Step 4: Simplify right side
    233,158.88x = 129,626,461,350.56
  5. Step 5: Solve for x
    x = 129,626,461,350.56/233,158.88
  6. Step 6: Final answer
    x = 555,957.65

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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.