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Finding the Third Proportional to 109,614 and 235,878

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Solution

The third proportional to 109,614 and 235,878 is: 507,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,614 : 235,878 = 235,878 : x
  2. Step 2: Convert to fraction form
    109,614/235,878 = 235,878/x
  3. Step 3: Cross multiply
    109,614x = 235,878 × 235,878
  4. Step 4: Simplify right side
    109,614x = 55,638,430,884
  5. Step 5: Solve for x
    x = 55,638,430,884/109,614
  6. Step 6: Final answer
    x = 507,585.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.