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Finding the Third Proportional to 152,611.50 and 309,376.50

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Solution

The third proportional to 152,611.50 and 309,376.50 is: 627,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,611.50 : 309,376.50 = 309,376.50 : x
  2. Step 2: Convert to fraction form
    152,611.50/309,376.50 = 309,376.50/x
  3. Step 3: Cross multiply
    152,611.50x = 309,376.50 × 309,376.50
  4. Step 4: Simplify right side
    152,611.50x = 95,713,818,752.25
  5. Step 5: Solve for x
    x = 95,713,818,752.25/152,611.50
  6. Step 6: Final answer
    x = 627,173.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.