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Finding the Third Proportional to 156,973 and 343,106

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Solution

The third proportional to 156,973 and 343,106 is: 749,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,973 : 343,106 = 343,106 : x
  2. Step 2: Convert to fraction form
    156,973/343,106 = 343,106/x
  3. Step 3: Cross multiply
    156,973x = 343,106 × 343,106
  4. Step 4: Simplify right side
    156,973x = 117,721,727,236
  5. Step 5: Solve for x
    x = 117,721,727,236/156,973
  6. Step 6: Final answer
    x = 749,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.