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Finding the Third Proportional to 176,289 and 261,030

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Solution

The third proportional to 176,289 and 261,030 is: 386,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289 : 261,030 = 261,030 : x
  2. Step 2: Convert to fraction form
    176,289/261,030 = 261,030/x
  3. Step 3: Cross multiply
    176,289x = 261,030 × 261,030
  4. Step 4: Simplify right side
    176,289x = 68,136,660,900
  5. Step 5: Solve for x
    x = 68,136,660,900/176,289
  6. Step 6: Final answer
    x = 386,505.46

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.