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Finding the Third Proportional to 91,734.50 and 201,557

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Solution

The third proportional to 91,734.50 and 201,557 is: 442,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,734.50 : 201,557 = 201,557 : x
  2. Step 2: Convert to fraction form
    91,734.50/201,557 = 201,557/x
  3. Step 3: Cross multiply
    91,734.50x = 201,557 × 201,557
  4. Step 4: Simplify right side
    91,734.50x = 40,625,224,249
  5. Step 5: Solve for x
    x = 40,625,224,249/91,734.50
  6. Step 6: Final answer
    x = 442,856.55

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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.