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Finding the Third Proportional to 163,964 and 250,704

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Solution

The third proportional to 163,964 and 250,704 is: 383,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,964 : 250,704 = 250,704 : x
  2. Step 2: Convert to fraction form
    163,964/250,704 = 250,704/x
  3. Step 3: Cross multiply
    163,964x = 250,704 × 250,704
  4. Step 4: Simplify right side
    163,964x = 62,852,495,616
  5. Step 5: Solve for x
    x = 62,852,495,616/163,964
  6. Step 6: Final answer
    x = 383,331.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.