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Finding the Third Proportional to 194,061 and 308,587.50

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Solution

The third proportional to 194,061 and 308,587.50 is: 490,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,061 : 308,587.50 = 308,587.50 : x
  2. Step 2: Convert to fraction form
    194,061/308,587.50 = 308,587.50/x
  3. Step 3: Cross multiply
    194,061x = 308,587.50 × 308,587.50
  4. Step 4: Simplify right side
    194,061x = 95,226,245,156.25
  5. Step 5: Solve for x
    x = 95,226,245,156.25/194,061
  6. Step 6: Final answer
    x = 490,702.64

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