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Finding the Third Proportional to 239,960 and 525,118

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Solution

The third proportional to 239,960 and 525,118 is: 1,149,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,960 : 525,118 = 525,118 : x
  2. Step 2: Convert to fraction form
    239,960/525,118 = 525,118/x
  3. Step 3: Cross multiply
    239,960x = 525,118 × 525,118
  4. Step 4: Simplify right side
    239,960x = 275,748,913,924
  5. Step 5: Solve for x
    x = 275,748,913,924/239,960
  6. Step 6: Final answer
    x = 1,149,145.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.