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Finding the Third Proportional to 210,253.50 and 448,032

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Solution

The third proportional to 210,253.50 and 448,032 is: 954,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,253.50 : 448,032 = 448,032 : x
  2. Step 2: Convert to fraction form
    210,253.50/448,032 = 448,032/x
  3. Step 3: Cross multiply
    210,253.50x = 448,032 × 448,032
  4. Step 4: Simplify right side
    210,253.50x = 200,732,673,024
  5. Step 5: Solve for x
    x = 200,732,673,024/210,253.50
  6. Step 6: Final answer
    x = 954,717.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.