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Finding the Third Proportional to 173,020.50 and 232,807.50

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Solution

The third proportional to 173,020.50 and 232,807.50 is: 313,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,020.50 : 232,807.50 = 232,807.50 : x
  2. Step 2: Convert to fraction form
    173,020.50/232,807.50 = 232,807.50/x
  3. Step 3: Cross multiply
    173,020.50x = 232,807.50 × 232,807.50
  4. Step 4: Simplify right side
    173,020.50x = 54,199,332,056.25
  5. Step 5: Solve for x
    x = 54,199,332,056.25/173,020.50
  6. Step 6: Final answer
    x = 313,253.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.