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Finding the Third Proportional to 174,923.93 and 367,472.95

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Solution

The third proportional to 174,923.93 and 367,472.95 is: 771,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,923.93 : 367,472.95 = 367,472.95 : x
  2. Step 2: Convert to fraction form
    174,923.93/367,472.95 = 367,472.95/x
  3. Step 3: Cross multiply
    174,923.93x = 367,472.95 × 367,472.95
  4. Step 4: Simplify right side
    174,923.93x = 135,036,371,278.41
  5. Step 5: Solve for x
    x = 135,036,371,278.41/174,923.93
  6. Step 6: Final answer
    x = 771,971.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.