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Finding the Third Proportional to 173,901.50 and 232,934.25

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Solution

The third proportional to 173,901.50 and 232,934.25 is: 312,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,901.50 : 232,934.25 = 232,934.25 : x
  2. Step 2: Convert to fraction form
    173,901.50/232,934.25 = 232,934.25/x
  3. Step 3: Cross multiply
    173,901.50x = 232,934.25 × 232,934.25
  4. Step 4: Simplify right side
    173,901.50x = 54,258,364,823.06
  5. Step 5: Solve for x
    x = 54,258,364,823.06/173,901.50
  6. Step 6: Final answer
    x = 312,006.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.