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Finding the Third Proportional to 163,804 and 355,472

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Solution

The third proportional to 163,804 and 355,472 is: 771,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,804 : 355,472 = 355,472 : x
  2. Step 2: Convert to fraction form
    163,804/355,472 = 355,472/x
  3. Step 3: Cross multiply
    163,804x = 355,472 × 355,472
  4. Step 4: Simplify right side
    163,804x = 126,360,342,784
  5. Step 5: Solve for x
    x = 126,360,342,784/163,804
  6. Step 6: Final answer
    x = 771,411.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.