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Finding the Third Proportional to 98,948 and 233,340

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Solution

The third proportional to 98,948 and 233,340 is: 550,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,948 : 233,340 = 233,340 : x
  2. Step 2: Convert to fraction form
    98,948/233,340 = 233,340/x
  3. Step 3: Cross multiply
    98,948x = 233,340 × 233,340
  4. Step 4: Simplify right side
    98,948x = 54,447,555,600
  5. Step 5: Solve for x
    x = 54,447,555,600/98,948
  6. Step 6: Final answer
    x = 550,264.34

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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.