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Finding the Third Proportional to 98,880 and 233,319

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Solution

The third proportional to 98,880 and 233,319 is: 550,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,880 : 233,319 = 233,319 : x
  2. Step 2: Convert to fraction form
    98,880/233,319 = 233,319/x
  3. Step 3: Cross multiply
    98,880x = 233,319 × 233,319
  4. Step 4: Simplify right side
    98,880x = 54,437,755,761
  5. Step 5: Solve for x
    x = 54,437,755,761/98,880
  6. Step 6: Final answer
    x = 550,543.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.