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Finding the Third Proportional to 210,516 and 323,562

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Solution

The third proportional to 210,516 and 323,562 is: 497,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,516 : 323,562 = 323,562 : x
  2. Step 2: Convert to fraction form
    210,516/323,562 = 323,562/x
  3. Step 3: Cross multiply
    210,516x = 323,562 × 323,562
  4. Step 4: Simplify right side
    210,516x = 104,692,367,844
  5. Step 5: Solve for x
    x = 104,692,367,844/210,516
  6. Step 6: Final answer
    x = 497,313.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.