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Finding the Third Proportional to 172,762.50 and 377,439

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Solution

The third proportional to 172,762.50 and 377,439 is: 824,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,762.50 : 377,439 = 377,439 : x
  2. Step 2: Convert to fraction form
    172,762.50/377,439 = 377,439/x
  3. Step 3: Cross multiply
    172,762.50x = 377,439 × 377,439
  4. Step 4: Simplify right side
    172,762.50x = 142,460,198,721
  5. Step 5: Solve for x
    x = 142,460,198,721/172,762.50
  6. Step 6: Final answer
    x = 824,601.40

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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.