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Finding the Third Proportional to 131,661 and 288,323

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Solution

The third proportional to 131,661 and 288,323 is: 631,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,661 : 288,323 = 288,323 : x
  2. Step 2: Convert to fraction form
    131,661/288,323 = 288,323/x
  3. Step 3: Cross multiply
    131,661x = 288,323 × 288,323
  4. Step 4: Simplify right side
    131,661x = 83,130,152,329
  5. Step 5: Solve for x
    x = 83,130,152,329/131,661
  6. Step 6: Final answer
    x = 631,395.42

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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.