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Finding the Third Proportional to 172,752.50 and 266,509.50

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Solution

The third proportional to 172,752.50 and 266,509.50 is: 411,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,752.50 : 266,509.50 = 266,509.50 : x
  2. Step 2: Convert to fraction form
    172,752.50/266,509.50 = 266,509.50/x
  3. Step 3: Cross multiply
    172,752.50x = 266,509.50 × 266,509.50
  4. Step 4: Simplify right side
    172,752.50x = 71,027,313,590.25
  5. Step 5: Solve for x
    x = 71,027,313,590.25/172,752.50
  6. Step 6: Final answer
    x = 411,150.71

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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.