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Finding the Third Proportional to 172,563.75 and 264,894.47

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Solution

The third proportional to 172,563.75 and 264,894.47 is: 406,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,563.75 : 264,894.47 = 264,894.47 : x
  2. Step 2: Convert to fraction form
    172,563.75/264,894.47 = 264,894.47/x
  3. Step 3: Cross multiply
    172,563.75x = 264,894.47 × 264,894.47
  4. Step 4: Simplify right side
    172,563.75x = 70,169,079,574.34
  5. Step 5: Solve for x
    x = 70,169,079,574.34/172,563.75
  6. Step 6: Final answer
    x = 406,627.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.