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Finding the Third Proportional to 194,080 and 294,624

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Solution

The third proportional to 194,080 and 294,624 is: 447,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,080 : 294,624 = 294,624 : x
  2. Step 2: Convert to fraction form
    194,080/294,624 = 294,624/x
  3. Step 3: Cross multiply
    194,080x = 294,624 × 294,624
  4. Step 4: Simplify right side
    194,080x = 86,803,301,376
  5. Step 5: Solve for x
    x = 86,803,301,376/194,080
  6. Step 6: Final answer
    x = 447,255.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.