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Finding the Third Proportional to 176,913 and 377,442

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Solution

The third proportional to 176,913 and 377,442 is: 805,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,913 : 377,442 = 377,442 : x
  2. Step 2: Convert to fraction form
    176,913/377,442 = 377,442/x
  3. Step 3: Cross multiply
    176,913x = 377,442 × 377,442
  4. Step 4: Simplify right side
    176,913x = 142,462,463,364
  5. Step 5: Solve for x
    x = 142,462,463,364/176,913
  6. Step 6: Final answer
    x = 805,268.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.