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Finding the Third Proportional to 180,641 and 418,310.50

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Solution

The third proportional to 180,641 and 418,310.50 is: 968,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,641 : 418,310.50 = 418,310.50 : x
  2. Step 2: Convert to fraction form
    180,641/418,310.50 = 418,310.50/x
  3. Step 3: Cross multiply
    180,641x = 418,310.50 × 418,310.50
  4. Step 4: Simplify right side
    180,641x = 174,983,674,410.25
  5. Step 5: Solve for x
    x = 174,983,674,410.25/180,641
  6. Step 6: Final answer
    x = 968,681.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.