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Finding the Third Proportional to 194,776.50 and 291,390

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Solution

The third proportional to 194,776.50 and 291,390 is: 435,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,776.50 : 291,390 = 291,390 : x
  2. Step 2: Convert to fraction form
    194,776.50/291,390 = 291,390/x
  3. Step 3: Cross multiply
    194,776.50x = 291,390 × 291,390
  4. Step 4: Simplify right side
    194,776.50x = 84,908,132,100
  5. Step 5: Solve for x
    x = 84,908,132,100/194,776.50
  6. Step 6: Final answer
    x = 435,925.96

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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.