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Finding the Third Proportional to 159,875 and 234,628

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Solution

The third proportional to 159,875 and 234,628 is: 344,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,875 : 234,628 = 234,628 : x
  2. Step 2: Convert to fraction form
    159,875/234,628 = 234,628/x
  3. Step 3: Cross multiply
    159,875x = 234,628 × 234,628
  4. Step 4: Simplify right side
    159,875x = 55,050,298,384
  5. Step 5: Solve for x
    x = 55,050,298,384/159,875
  6. Step 6: Final answer
    x = 344,333.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.