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Finding the Third Proportional to 233,244 and 360,177.75

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Solution

The third proportional to 233,244 and 360,177.75 is: 556,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,244 : 360,177.75 = 360,177.75 : x
  2. Step 2: Convert to fraction form
    233,244/360,177.75 = 360,177.75/x
  3. Step 3: Cross multiply
    233,244x = 360,177.75 × 360,177.75
  4. Step 4: Simplify right side
    233,244x = 129,728,011,595.06
  5. Step 5: Solve for x
    x = 129,728,011,595.06/233,244
  6. Step 6: Final answer
    x = 556,190.13

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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.