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Finding the Third Proportional to 108,643.75 and 235,376.25

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Solution

The third proportional to 108,643.75 and 235,376.25 is: 509,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.75 : 235,376.25 = 235,376.25 : x
  2. Step 2: Convert to fraction form
    108,643.75/235,376.25 = 235,376.25/x
  3. Step 3: Cross multiply
    108,643.75x = 235,376.25 × 235,376.25
  4. Step 4: Simplify right side
    108,643.75x = 55,401,979,064.06
  5. Step 5: Solve for x
    x = 55,401,979,064.06/108,643.75
  6. Step 6: Final answer
    x = 509,941.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.