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Finding the Third Proportional to 211,884 and 314,160

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Solution

The third proportional to 211,884 and 314,160 is: 465,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,884 : 314,160 = 314,160 : x
  2. Step 2: Convert to fraction form
    211,884/314,160 = 314,160/x
  3. Step 3: Cross multiply
    211,884x = 314,160 × 314,160
  4. Step 4: Simplify right side
    211,884x = 98,696,505,600
  5. Step 5: Solve for x
    x = 98,696,505,600/211,884
  6. Step 6: Final answer
    x = 465,804.43

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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.