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Finding the Third Proportional to 156,946 and 335,437

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Solution

The third proportional to 156,946 and 335,437 is: 716,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 335,437 = 335,437 : x
  2. Step 2: Convert to fraction form
    156,946/335,437 = 335,437/x
  3. Step 3: Cross multiply
    156,946x = 335,437 × 335,437
  4. Step 4: Simplify right side
    156,946x = 112,517,980,969
  5. Step 5: Solve for x
    x = 112,517,980,969/156,946
  6. Step 6: Final answer
    x = 716,921.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.