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Finding the Third Proportional to 214,316.50 and 460,891

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Solution

The third proportional to 214,316.50 and 460,891 is: 991,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,316.50 : 460,891 = 460,891 : x
  2. Step 2: Convert to fraction form
    214,316.50/460,891 = 460,891/x
  3. Step 3: Cross multiply
    214,316.50x = 460,891 × 460,891
  4. Step 4: Simplify right side
    214,316.50x = 212,420,513,881
  5. Step 5: Solve for x
    x = 212,420,513,881/214,316.50
  6. Step 6: Final answer
    x = 991,153.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.