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Finding the Third Proportional to 272,182 and 355,783

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Solution

The third proportional to 272,182 and 355,783 is: 465,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,182 : 355,783 = 355,783 : x
  2. Step 2: Convert to fraction form
    272,182/355,783 = 355,783/x
  3. Step 3: Cross multiply
    272,182x = 355,783 × 355,783
  4. Step 4: Simplify right side
    272,182x = 126,581,543,089
  5. Step 5: Solve for x
    x = 126,581,543,089/272,182
  6. Step 6: Final answer
    x = 465,062.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.