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Finding the Third Proportional to 156,946 and 343,033

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Solution

The third proportional to 156,946 and 343,033 is: 749,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 343,033 = 343,033 : x
  2. Step 2: Convert to fraction form
    156,946/343,033 = 343,033/x
  3. Step 3: Cross multiply
    156,946x = 343,033 × 343,033
  4. Step 4: Simplify right side
    156,946x = 117,671,639,089
  5. Step 5: Solve for x
    x = 117,671,639,089/156,946
  6. Step 6: Final answer
    x = 749,758.76

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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.