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Finding the Third Proportional to 156,958 and 348,786

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Solution

The third proportional to 156,958 and 348,786 is: 775,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,958 : 348,786 = 348,786 : x
  2. Step 2: Convert to fraction form
    156,958/348,786 = 348,786/x
  3. Step 3: Cross multiply
    156,958x = 348,786 × 348,786
  4. Step 4: Simplify right side
    156,958x = 121,651,673,796
  5. Step 5: Solve for x
    x = 121,651,673,796/156,958
  6. Step 6: Final answer
    x = 775,058.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.