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Finding the Third Proportional to 211,876.88 and 314,149.50

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Solution

The third proportional to 211,876.88 and 314,149.50 is: 465,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,876.88 : 314,149.50 = 314,149.50 : x
  2. Step 2: Convert to fraction form
    211,876.88/314,149.50 = 314,149.50/x
  3. Step 3: Cross multiply
    211,876.88x = 314,149.50 × 314,149.50
  4. Step 4: Simplify right side
    211,876.88x = 98,689,908,350.25
  5. Step 5: Solve for x
    x = 98,689,908,350.25/211,876.88
  6. Step 6: Final answer
    x = 465,788.96

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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.