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Finding the Third Proportional to 210,076 and 325,826

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Solution

The third proportional to 210,076 and 325,826 is: 505,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,076 : 325,826 = 325,826 : x
  2. Step 2: Convert to fraction form
    210,076/325,826 = 325,826/x
  3. Step 3: Cross multiply
    210,076x = 325,826 × 325,826
  4. Step 4: Simplify right side
    210,076x = 106,162,582,276
  5. Step 5: Solve for x
    x = 106,162,582,276/210,076
  6. Step 6: Final answer
    x = 505,353.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.