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Finding the Third Proportional to 189,411 and 420,862.50

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Solution

The third proportional to 189,411 and 420,862.50 is: 935,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,411 : 420,862.50 = 420,862.50 : x
  2. Step 2: Convert to fraction form
    189,411/420,862.50 = 420,862.50/x
  3. Step 3: Cross multiply
    189,411x = 420,862.50 × 420,862.50
  4. Step 4: Simplify right side
    189,411x = 177,125,243,906.25
  5. Step 5: Solve for x
    x = 177,125,243,906.25/189,411
  6. Step 6: Final answer
    x = 935,137.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.