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Finding the Third Proportional to 194,856 and 310,294.50

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Solution

The third proportional to 194,856 and 310,294.50 is: 494,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,856 : 310,294.50 = 310,294.50 : x
  2. Step 2: Convert to fraction form
    194,856/310,294.50 = 310,294.50/x
  3. Step 3: Cross multiply
    194,856x = 310,294.50 × 310,294.50
  4. Step 4: Simplify right side
    194,856x = 96,282,676,730.25
  5. Step 5: Solve for x
    x = 96,282,676,730.25/194,856
  6. Step 6: Final answer
    x = 494,122.21

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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.