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Finding the Third Proportional to 210,708 and 330,181.50

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Solution

The third proportional to 210,708 and 330,181.50 is: 517,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,708 : 330,181.50 = 330,181.50 : x
  2. Step 2: Convert to fraction form
    210,708/330,181.50 = 330,181.50/x
  3. Step 3: Cross multiply
    210,708x = 330,181.50 × 330,181.50
  4. Step 4: Simplify right side
    210,708x = 109,019,822,942.25
  5. Step 5: Solve for x
    x = 109,019,822,942.25/210,708
  6. Step 6: Final answer
    x = 517,397.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.