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Finding the Third Proportional to 161,714 and 245,835

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Solution

The third proportional to 161,714 and 245,835 is: 373,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714 : 245,835 = 245,835 : x
  2. Step 2: Convert to fraction form
    161,714/245,835 = 245,835/x
  3. Step 3: Cross multiply
    161,714x = 245,835 × 245,835
  4. Step 4: Simplify right side
    161,714x = 60,434,847,225
  5. Step 5: Solve for x
    x = 60,434,847,225/161,714
  6. Step 6: Final answer
    x = 373,714.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.