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Finding the Third Proportional to 194,428 and 304,602

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Solution

The third proportional to 194,428 and 304,602 is: 477,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,428 : 304,602 = 304,602 : x
  2. Step 2: Convert to fraction form
    194,428/304,602 = 304,602/x
  3. Step 3: Cross multiply
    194,428x = 304,602 × 304,602
  4. Step 4: Simplify right side
    194,428x = 92,782,378,404
  5. Step 5: Solve for x
    x = 92,782,378,404/194,428
  6. Step 6: Final answer
    x = 477,206.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.