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Finding the Third Proportional to 210,539.63 and 323,618.81

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Solution

The third proportional to 210,539.63 and 323,618.81 is: 497,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,539.63 : 323,618.81 = 323,618.81 : x
  2. Step 2: Convert to fraction form
    210,539.63/323,618.81 = 323,618.81/x
  3. Step 3: Cross multiply
    210,539.63x = 323,618.81 × 323,618.81
  4. Step 4: Simplify right side
    210,539.63x = 104,729,135,803.91
  5. Step 5: Solve for x
    x = 104,729,135,803.91/210,539.63
  6. Step 6: Final answer
    x = 497,431.95

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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.