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Finding the Third Proportional to 194,068 and 308,597

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Solution

The third proportional to 194,068 and 308,597 is: 490,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,068 : 308,597 = 308,597 : x
  2. Step 2: Convert to fraction form
    194,068/308,597 = 308,597/x
  3. Step 3: Cross multiply
    194,068x = 308,597 × 308,597
  4. Step 4: Simplify right side
    194,068x = 95,232,108,409
  5. Step 5: Solve for x
    x = 95,232,108,409/194,068
  6. Step 6: Final answer
    x = 490,715.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.