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Finding the Third Proportional to 121,984.50 and 264,330

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Solution

The third proportional to 121,984.50 and 264,330 is: 572,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,984.50 : 264,330 = 264,330 : x
  2. Step 2: Convert to fraction form
    121,984.50/264,330 = 264,330/x
  3. Step 3: Cross multiply
    121,984.50x = 264,330 × 264,330
  4. Step 4: Simplify right side
    121,984.50x = 69,870,348,900
  5. Step 5: Solve for x
    x = 69,870,348,900/121,984.50
  6. Step 6: Final answer
    x = 572,780.55

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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.