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Finding the Third Proportional to 156,798 and 335,729

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Solution

The third proportional to 156,798 and 335,729 is: 718,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798 : 335,729 = 335,729 : x
  2. Step 2: Convert to fraction form
    156,798/335,729 = 335,729/x
  3. Step 3: Cross multiply
    156,798x = 335,729 × 335,729
  4. Step 4: Simplify right side
    156,798x = 112,713,961,441
  5. Step 5: Solve for x
    x = 112,713,961,441/156,798
  6. Step 6: Final answer
    x = 718,848.21

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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.