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Finding the Third Proportional to 191,416 and 412,082

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Solution

The third proportional to 191,416 and 412,082 is: 887,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,416 : 412,082 = 412,082 : x
  2. Step 2: Convert to fraction form
    191,416/412,082 = 412,082/x
  3. Step 3: Cross multiply
    191,416x = 412,082 × 412,082
  4. Step 4: Simplify right side
    191,416x = 169,811,574,724
  5. Step 5: Solve for x
    x = 169,811,574,724/191,416
  6. Step 6: Final answer
    x = 887,133.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.