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Finding the Third Proportional to 131,506 and 287,612

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Solution

The third proportional to 131,506 and 287,612 is: 629,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,506 : 287,612 = 287,612 : x
  2. Step 2: Convert to fraction form
    131,506/287,612 = 287,612/x
  3. Step 3: Cross multiply
    131,506x = 287,612 × 287,612
  4. Step 4: Simplify right side
    131,506x = 82,720,662,544
  5. Step 5: Solve for x
    x = 82,720,662,544/131,506
  6. Step 6: Final answer
    x = 629,025.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.