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Finding the Third Proportional to 210,322 and 450,172

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Solution

The third proportional to 210,322 and 450,172 is: 963,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,322 : 450,172 = 450,172 : x
  2. Step 2: Convert to fraction form
    210,322/450,172 = 450,172/x
  3. Step 3: Cross multiply
    210,322x = 450,172 × 450,172
  4. Step 4: Simplify right side
    210,322x = 202,654,829,584
  5. Step 5: Solve for x
    x = 202,654,829,584/210,322
  6. Step 6: Final answer
    x = 963,545.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.