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Finding the Third Proportional to 211,882 and 314,157.50

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Solution

The third proportional to 211,882 and 314,157.50 is: 465,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,882 : 314,157.50 = 314,157.50 : x
  2. Step 2: Convert to fraction form
    211,882/314,157.50 = 314,157.50/x
  3. Step 3: Cross multiply
    211,882x = 314,157.50 × 314,157.50
  4. Step 4: Simplify right side
    211,882x = 98,694,934,806.25
  5. Step 5: Solve for x
    x = 98,694,934,806.25/211,882
  6. Step 6: Final answer
    x = 465,801.41

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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.