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Finding the Third Proportional to 132,096 and 325,776

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Solution

The third proportional to 132,096 and 325,776 is: 803,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,096 : 325,776 = 325,776 : x
  2. Step 2: Convert to fraction form
    132,096/325,776 = 325,776/x
  3. Step 3: Cross multiply
    132,096x = 325,776 × 325,776
  4. Step 4: Simplify right side
    132,096x = 106,130,002,176
  5. Step 5: Solve for x
    x = 106,130,002,176/132,096
  6. Step 6: Final answer
    x = 803,430.85

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.