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Finding the Third Proportional to 157,468 and 335,960

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Solution

The third proportional to 157,468 and 335,960 is: 716,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,468 : 335,960 = 335,960 : x
  2. Step 2: Convert to fraction form
    157,468/335,960 = 335,960/x
  3. Step 3: Cross multiply
    157,468x = 335,960 × 335,960
  4. Step 4: Simplify right side
    157,468x = 112,869,121,600
  5. Step 5: Solve for x
    x = 112,869,121,600/157,468
  6. Step 6: Final answer
    x = 716,774.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.