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Finding the Third Proportional to 131,785.50 and 287,421

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Solution

The third proportional to 131,785.50 and 287,421 is: 626,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,785.50 : 287,421 = 287,421 : x
  2. Step 2: Convert to fraction form
    131,785.50/287,421 = 287,421/x
  3. Step 3: Cross multiply
    131,785.50x = 287,421 × 287,421
  4. Step 4: Simplify right side
    131,785.50x = 82,610,831,241
  5. Step 5: Solve for x
    x = 82,610,831,241/131,785.50
  6. Step 6: Final answer
    x = 626,858.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.