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Finding the Third Proportional to 105,927.75 and 233,176.50

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Solution

The third proportional to 105,927.75 and 233,176.50 is: 513,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,927.75 : 233,176.50 = 233,176.50 : x
  2. Step 2: Convert to fraction form
    105,927.75/233,176.50 = 233,176.50/x
  3. Step 3: Cross multiply
    105,927.75x = 233,176.50 × 233,176.50
  4. Step 4: Simplify right side
    105,927.75x = 54,371,280,152.25
  5. Step 5: Solve for x
    x = 54,371,280,152.25/105,927.75
  6. Step 6: Final answer
    x = 513,286.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.