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Finding the Third Proportional to 176,583 and 377,403

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Solution

The third proportional to 176,583 and 377,403 is: 806,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,583 : 377,403 = 377,403 : x
  2. Step 2: Convert to fraction form
    176,583/377,403 = 377,403/x
  3. Step 3: Cross multiply
    176,583x = 377,403 × 377,403
  4. Step 4: Simplify right side
    176,583x = 142,433,024,409
  5. Step 5: Solve for x
    x = 142,433,024,409/176,583
  6. Step 6: Final answer
    x = 806,606.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.