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Finding the Third Proportional to 172,287 and 264,748.50

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Solution

The third proportional to 172,287 and 264,748.50 is: 406,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287 : 264,748.50 = 264,748.50 : x
  2. Step 2: Convert to fraction form
    172,287/264,748.50 = 264,748.50/x
  3. Step 3: Cross multiply
    172,287x = 264,748.50 × 264,748.50
  4. Step 4: Simplify right side
    172,287x = 70,091,768,252.25
  5. Step 5: Solve for x
    x = 70,091,768,252.25/172,287
  6. Step 6: Final answer
    x = 406,831.44

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