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Finding the Third Proportional to 116,586.75 and 175,312.50

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Solution

The third proportional to 116,586.75 and 175,312.50 is: 263,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586.75 : 175,312.50 = 175,312.50 : x
  2. Step 2: Convert to fraction form
    116,586.75/175,312.50 = 175,312.50/x
  3. Step 3: Cross multiply
    116,586.75x = 175,312.50 × 175,312.50
  4. Step 4: Simplify right side
    116,586.75x = 30,734,472,656.25
  5. Step 5: Solve for x
    x = 30,734,472,656.25/116,586.75
  6. Step 6: Final answer
    x = 263,618.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.