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Finding the Third Proportional to 98,968 and 233,389

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Solution

The third proportional to 98,968 and 233,389 is: 550,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968 : 233,389 = 233,389 : x
  2. Step 2: Convert to fraction form
    98,968/233,389 = 233,389/x
  3. Step 3: Cross multiply
    98,968x = 233,389 × 233,389
  4. Step 4: Simplify right side
    98,968x = 54,470,425,321
  5. Step 5: Solve for x
    x = 54,470,425,321/98,968
  6. Step 6: Final answer
    x = 550,384.22

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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.