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Finding the Third Proportional to 233,185.92 and 360,086.13

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Solution

The third proportional to 233,185.92 and 360,086.13 is: 556,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,185.92 : 360,086.13 = 360,086.13 : x
  2. Step 2: Convert to fraction form
    233,185.92/360,086.13 = 360,086.13/x
  3. Step 3: Cross multiply
    233,185.92x = 360,086.13 × 360,086.13
  4. Step 4: Simplify right side
    233,185.92x = 129,662,023,043.86
  5. Step 5: Solve for x
    x = 129,662,023,043.86/233,185.92
  6. Step 6: Final answer
    x = 556,045.67

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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.