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Finding the Third Proportional to 172,518.75 and 375,412.50

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Solution

The third proportional to 172,518.75 and 375,412.50 is: 816,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,518.75 : 375,412.50 = 375,412.50 : x
  2. Step 2: Convert to fraction form
    172,518.75/375,412.50 = 375,412.50/x
  3. Step 3: Cross multiply
    172,518.75x = 375,412.50 × 375,412.50
  4. Step 4: Simplify right side
    172,518.75x = 140,934,545,156.25
  5. Step 5: Solve for x
    x = 140,934,545,156.25/172,518.75
  6. Step 6: Final answer
    x = 816,923.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.