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Finding the Third Proportional to 191,368 and 413,356

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Solution

The third proportional to 191,368 and 413,356 is: 892,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,368 : 413,356 = 413,356 : x
  2. Step 2: Convert to fraction form
    191,368/413,356 = 413,356/x
  3. Step 3: Cross multiply
    191,368x = 413,356 × 413,356
  4. Step 4: Simplify right side
    191,368x = 170,863,182,736
  5. Step 5: Solve for x
    x = 170,863,182,736/191,368
  6. Step 6: Final answer
    x = 892,851.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.