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Finding the Third Proportional to 156,927 and 343,013

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Solution

The third proportional to 156,927 and 343,013 is: 749,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,927 : 343,013 = 343,013 : x
  2. Step 2: Convert to fraction form
    156,927/343,013 = 343,013/x
  3. Step 3: Cross multiply
    156,927x = 343,013 × 343,013
  4. Step 4: Simplify right side
    156,927x = 117,657,918,169
  5. Step 5: Solve for x
    x = 117,657,918,169/156,927
  6. Step 6: Final answer
    x = 749,762.11

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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.