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Finding the Third Proportional to 175,066 and 264,687

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Solution

The third proportional to 175,066 and 264,687 is: 400,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,066 : 264,687 = 264,687 : x
  2. Step 2: Convert to fraction form
    175,066/264,687 = 264,687/x
  3. Step 3: Cross multiply
    175,066x = 264,687 × 264,687
  4. Step 4: Simplify right side
    175,066x = 70,059,207,969
  5. Step 5: Solve for x
    x = 70,059,207,969/175,066
  6. Step 6: Final answer
    x = 400,187.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.