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Finding the Third Proportional to 194,534 and 291,803

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Solution

The third proportional to 194,534 and 291,803 is: 437,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,534 : 291,803 = 291,803 : x
  2. Step 2: Convert to fraction form
    194,534/291,803 = 291,803/x
  3. Step 3: Cross multiply
    194,534x = 291,803 × 291,803
  4. Step 4: Simplify right side
    194,534x = 85,148,990,809
  5. Step 5: Solve for x
    x = 85,148,990,809/194,534
  6. Step 6: Final answer
    x = 437,707.50

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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.