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Finding the Third Proportional to 156,603 and 335,346

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Solution

The third proportional to 156,603 and 335,346 is: 718,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,603 : 335,346 = 335,346 : x
  2. Step 2: Convert to fraction form
    156,603/335,346 = 335,346/x
  3. Step 3: Cross multiply
    156,603x = 335,346 × 335,346
  4. Step 4: Simplify right side
    156,603x = 112,456,939,716
  5. Step 5: Solve for x
    x = 112,456,939,716/156,603
  6. Step 6: Final answer
    x = 718,102.08

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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.