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Finding the Third Proportional to 191,412 and 392,376

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Solution

The third proportional to 191,412 and 392,376 is: 804,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,412 : 392,376 = 392,376 : x
  2. Step 2: Convert to fraction form
    191,412/392,376 = 392,376/x
  3. Step 3: Cross multiply
    191,412x = 392,376 × 392,376
  4. Step 4: Simplify right side
    191,412x = 153,958,925,376
  5. Step 5: Solve for x
    x = 153,958,925,376/191,412
  6. Step 6: Final answer
    x = 804,332.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.