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Finding the Third Proportional to 175,010 and 264,117

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Solution

The third proportional to 175,010 and 264,117 is: 398,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,010 : 264,117 = 264,117 : x
  2. Step 2: Convert to fraction form
    175,010/264,117 = 264,117/x
  3. Step 3: Cross multiply
    175,010x = 264,117 × 264,117
  4. Step 4: Simplify right side
    175,010x = 69,757,789,689
  5. Step 5: Solve for x
    x = 69,757,789,689/175,010
  6. Step 6: Final answer
    x = 398,593.16

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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.