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Finding the Third Proportional to 132,088 and 285,710

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Solution

The third proportional to 132,088 and 285,710 is: 617,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,088 : 285,710 = 285,710 : x
  2. Step 2: Convert to fraction form
    132,088/285,710 = 285,710/x
  3. Step 3: Cross multiply
    132,088x = 285,710 × 285,710
  4. Step 4: Simplify right side
    132,088x = 81,630,204,100
  5. Step 5: Solve for x
    x = 81,630,204,100/132,088
  6. Step 6: Final answer
    x = 617,998.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.