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Finding the Third Proportional to 211,822 and 314,084

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Solution

The third proportional to 211,822 and 314,084 is: 465,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,822 : 314,084 = 314,084 : x
  2. Step 2: Convert to fraction form
    211,822/314,084 = 314,084/x
  3. Step 3: Cross multiply
    211,822x = 314,084 × 314,084
  4. Step 4: Simplify right side
    211,822x = 98,648,759,056
  5. Step 5: Solve for x
    x = 98,648,759,056/211,822
  6. Step 6: Final answer
    x = 465,715.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.