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Finding the Third Proportional to 172,655 and 377,332

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Solution

The third proportional to 172,655 and 377,332 is: 824,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,655 : 377,332 = 377,332 : x
  2. Step 2: Convert to fraction form
    172,655/377,332 = 377,332/x
  3. Step 3: Cross multiply
    172,655x = 377,332 × 377,332
  4. Step 4: Simplify right side
    172,655x = 142,379,438,224
  5. Step 5: Solve for x
    x = 142,379,438,224/172,655
  6. Step 6: Final answer
    x = 824,647.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.