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Finding the Third Proportional to 236,430 and 361,714

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Solution

The third proportional to 236,430 and 361,714 is: 553,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,430 : 361,714 = 361,714 : x
  2. Step 2: Convert to fraction form
    236,430/361,714 = 361,714/x
  3. Step 3: Cross multiply
    236,430x = 361,714 × 361,714
  4. Step 4: Simplify right side
    236,430x = 130,837,017,796
  5. Step 5: Solve for x
    x = 130,837,017,796/236,430
  6. Step 6: Final answer
    x = 553,385.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.