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Finding the Third Proportional to 133,044 and 295,613

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Solution

The third proportional to 133,044 and 295,613 is: 656,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 295,613 = 295,613 : x
  2. Step 2: Convert to fraction form
    133,044/295,613 = 295,613/x
  3. Step 3: Cross multiply
    133,044x = 295,613 × 295,613
  4. Step 4: Simplify right side
    133,044x = 87,387,045,769
  5. Step 5: Solve for x
    x = 87,387,045,769/133,044
  6. Step 6: Final answer
    x = 656,828.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.