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Finding the Third Proportional to 161,038 and 236,633

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Solution

The third proportional to 161,038 and 236,633 is: 347,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,038 : 236,633 = 236,633 : x
  2. Step 2: Convert to fraction form
    161,038/236,633 = 236,633/x
  3. Step 3: Cross multiply
    161,038x = 236,633 × 236,633
  4. Step 4: Simplify right side
    161,038x = 55,995,176,689
  5. Step 5: Solve for x
    x = 55,995,176,689/161,038
  6. Step 6: Final answer
    x = 347,714.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.