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Finding the Third Proportional to 134,881.50 and 283,641

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Solution

The third proportional to 134,881.50 and 283,641 is: 596,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,881.50 : 283,641 = 283,641 : x
  2. Step 2: Convert to fraction form
    134,881.50/283,641 = 283,641/x
  3. Step 3: Cross multiply
    134,881.50x = 283,641 × 283,641
  4. Step 4: Simplify right side
    134,881.50x = 80,452,216,881
  5. Step 5: Solve for x
    x = 80,452,216,881/134,881.50
  6. Step 6: Final answer
    x = 596,465.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.