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Finding the Third Proportional to 156,983 and 234,862

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Solution

The third proportional to 156,983 and 234,862 is: 351,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,983 : 234,862 = 234,862 : x
  2. Step 2: Convert to fraction form
    156,983/234,862 = 234,862/x
  3. Step 3: Cross multiply
    156,983x = 234,862 × 234,862
  4. Step 4: Simplify right side
    156,983x = 55,160,159,044
  5. Step 5: Solve for x
    x = 55,160,159,044/156,983
  6. Step 6: Final answer
    x = 351,376.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.