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Finding the Third Proportional to 108,783 and 235,710

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Solution

The third proportional to 108,783 and 235,710 is: 510,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,783 : 235,710 = 235,710 : x
  2. Step 2: Convert to fraction form
    108,783/235,710 = 235,710/x
  3. Step 3: Cross multiply
    108,783x = 235,710 × 235,710
  4. Step 4: Simplify right side
    108,783x = 55,559,204,100
  5. Step 5: Solve for x
    x = 55,559,204,100/108,783
  6. Step 6: Final answer
    x = 510,734.25

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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.