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Finding the Third Proportional to 181,323 and 410,283

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Solution

The third proportional to 181,323 and 410,283 is: 928,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,323 : 410,283 = 410,283 : x
  2. Step 2: Convert to fraction form
    181,323/410,283 = 410,283/x
  3. Step 3: Cross multiply
    181,323x = 410,283 × 410,283
  4. Step 4: Simplify right side
    181,323x = 168,332,140,089
  5. Step 5: Solve for x
    x = 168,332,140,089/181,323
  6. Step 6: Final answer
    x = 928,355.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.