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Finding the Third Proportional to 210,348 and 450,251

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Solution

The third proportional to 210,348 and 450,251 is: 963,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,348 : 450,251 = 450,251 : x
  2. Step 2: Convert to fraction form
    210,348/450,251 = 450,251/x
  3. Step 3: Cross multiply
    210,348x = 450,251 × 450,251
  4. Step 4: Simplify right side
    210,348x = 202,725,963,001
  5. Step 5: Solve for x
    x = 202,725,963,001/210,348
  6. Step 6: Final answer
    x = 963,764.63

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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.