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Finding the Third Proportional to 189,177 and 415,209

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Solution

The third proportional to 189,177 and 415,209 is: 911,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,177 : 415,209 = 415,209 : x
  2. Step 2: Convert to fraction form
    189,177/415,209 = 415,209/x
  3. Step 3: Cross multiply
    189,177x = 415,209 × 415,209
  4. Step 4: Simplify right side
    189,177x = 172,398,513,681
  5. Step 5: Solve for x
    x = 172,398,513,681/189,177
  6. Step 6: Final answer
    x = 911,308.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.