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Finding the Third Proportional to 194,060 and 308,586

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Solution

The third proportional to 194,060 and 308,586 is: 490,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,060 : 308,586 = 308,586 : x
  2. Step 2: Convert to fraction form
    194,060/308,586 = 308,586/x
  3. Step 3: Cross multiply
    194,060x = 308,586 × 308,586
  4. Step 4: Simplify right side
    194,060x = 95,225,319,396
  5. Step 5: Solve for x
    x = 95,225,319,396/194,060
  6. Step 6: Final answer
    x = 490,700.40

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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.