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Finding the Third Proportional to 214,908.19 and 290,830.50

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Solution

The third proportional to 214,908.19 and 290,830.50 is: 393,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.19 : 290,830.50 = 290,830.50 : x
  2. Step 2: Convert to fraction form
    214,908.19/290,830.50 = 290,830.50/x
  3. Step 3: Cross multiply
    214,908.19x = 290,830.50 × 290,830.50
  4. Step 4: Simplify right side
    214,908.19x = 84,582,379,730.25
  5. Step 5: Solve for x
    x = 84,582,379,730.25/214,908.19
  6. Step 6: Final answer
    x = 393,574.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.