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Finding the Third Proportional to 182,709 and 268,525.13

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Solution

The third proportional to 182,709 and 268,525.13 is: 394,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,709 : 268,525.13 = 268,525.13 : x
  2. Step 2: Convert to fraction form
    182,709/268,525.13 = 268,525.13/x
  3. Step 3: Cross multiply
    182,709x = 268,525.13 × 268,525.13
  4. Step 4: Simplify right side
    182,709x = 72,105,742,756.27
  5. Step 5: Solve for x
    x = 72,105,742,756.27/182,709
  6. Step 6: Final answer
    x = 394,648.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.