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Finding the Third Proportional to 214,953.75 and 455,510.25

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Solution

The third proportional to 214,953.75 and 455,510.25 is: 965,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,953.75 : 455,510.25 = 455,510.25 : x
  2. Step 2: Convert to fraction form
    214,953.75/455,510.25 = 455,510.25/x
  3. Step 3: Cross multiply
    214,953.75x = 455,510.25 × 455,510.25
  4. Step 4: Simplify right side
    214,953.75x = 207,489,587,855.06
  5. Step 5: Solve for x
    x = 207,489,587,855.06/214,953.75
  6. Step 6: Final answer
    x = 965,275.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.