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Finding the Third Proportional to 98,872 and 233,297

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Solution

The third proportional to 98,872 and 233,297 is: 550,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,872 : 233,297 = 233,297 : x
  2. Step 2: Convert to fraction form
    98,872/233,297 = 233,297/x
  3. Step 3: Cross multiply
    98,872x = 233,297 × 233,297
  4. Step 4: Simplify right side
    98,872x = 54,427,490,209
  5. Step 5: Solve for x
    x = 54,427,490,209/98,872
  6. Step 6: Final answer
    x = 550,484.37

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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.