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Finding the Third Proportional to 174,282 and 260,703

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Solution

The third proportional to 174,282 and 260,703 is: 389,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,282 : 260,703 = 260,703 : x
  2. Step 2: Convert to fraction form
    174,282/260,703 = 260,703/x
  3. Step 3: Cross multiply
    174,282x = 260,703 × 260,703
  4. Step 4: Simplify right side
    174,282x = 67,966,054,209
  5. Step 5: Solve for x
    x = 67,966,054,209/174,282
  6. Step 6: Final answer
    x = 389,977.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.