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Finding the Third Proportional to 174,867.19 and 277,813.13

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Solution

The third proportional to 174,867.19 and 277,813.13 is: 441,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,867.19 : 277,813.13 = 277,813.13 : x
  2. Step 2: Convert to fraction form
    174,867.19/277,813.13 = 277,813.13/x
  3. Step 3: Cross multiply
    174,867.19x = 277,813.13 × 277,813.13
  4. Step 4: Simplify right side
    174,867.19x = 77,180,132,422.27
  5. Step 5: Solve for x
    x = 77,180,132,422.27/174,867.19
  6. Step 6: Final answer
    x = 441,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.