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Finding the Third Proportional to 189,352 and 411,919

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Solution

The third proportional to 189,352 and 411,919 is: 896,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,352 : 411,919 = 411,919 : x
  2. Step 2: Convert to fraction form
    189,352/411,919 = 411,919/x
  3. Step 3: Cross multiply
    189,352x = 411,919 × 411,919
  4. Step 4: Simplify right side
    189,352x = 169,677,262,561
  5. Step 5: Solve for x
    x = 169,677,262,561/189,352
  6. Step 6: Final answer
    x = 896,094.38

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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.