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Finding the Third Proportional to 211,318.88 and 309,392.16

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Solution

The third proportional to 211,318.88 and 309,392.16 is: 452,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,318.88 : 309,392.16 = 309,392.16 : x
  2. Step 2: Convert to fraction form
    211,318.88/309,392.16 = 309,392.16/x
  3. Step 3: Cross multiply
    211,318.88x = 309,392.16 × 309,392.16
  4. Step 4: Simplify right side
    211,318.88x = 95,723,506,349.02
  5. Step 5: Solve for x
    x = 95,723,506,349.02/211,318.88
  6. Step 6: Final answer
    x = 452,981.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.