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Finding the Third Proportional to 189,240 and 413,309

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Solution

The third proportional to 189,240 and 413,309 is: 902,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,240 : 413,309 = 413,309 : x
  2. Step 2: Convert to fraction form
    189,240/413,309 = 413,309/x
  3. Step 3: Cross multiply
    189,240x = 413,309 × 413,309
  4. Step 4: Simplify right side
    189,240x = 170,824,329,481
  5. Step 5: Solve for x
    x = 170,824,329,481/189,240
  6. Step 6: Final answer
    x = 902,686.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.