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Finding the Third Proportional to 86,360 and 203,572

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Solution

The third proportional to 86,360 and 203,572 is: 479,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,360 : 203,572 = 203,572 : x
  2. Step 2: Convert to fraction form
    86,360/203,572 = 203,572/x
  3. Step 3: Cross multiply
    86,360x = 203,572 × 203,572
  4. Step 4: Simplify right side
    86,360x = 41,441,559,184
  5. Step 5: Solve for x
    x = 41,441,559,184/86,360
  6. Step 6: Final answer
    x = 479,869.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.