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Finding the Third Proportional to 210,926.25 and 455,001.75

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Solution

The third proportional to 210,926.25 and 455,001.75 is: 981,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,926.25 : 455,001.75 = 455,001.75 : x
  2. Step 2: Convert to fraction form
    210,926.25/455,001.75 = 455,001.75/x
  3. Step 3: Cross multiply
    210,926.25x = 455,001.75 × 455,001.75
  4. Step 4: Simplify right side
    210,926.25x = 207,026,592,503.06
  5. Step 5: Solve for x
    x = 207,026,592,503.06/210,926.25
  6. Step 6: Final answer
    x = 981,511.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.