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Finding the Third Proportional to 109,584 and 240,720

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Solution

The third proportional to 109,584 and 240,720 is: 528,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,584 : 240,720 = 240,720 : x
  2. Step 2: Convert to fraction form
    109,584/240,720 = 240,720/x
  3. Step 3: Cross multiply
    109,584x = 240,720 × 240,720
  4. Step 4: Simplify right side
    109,584x = 57,946,118,400
  5. Step 5: Solve for x
    x = 57,946,118,400/109,584
  6. Step 6: Final answer
    x = 528,782.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.