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Finding the Third Proportional to 147,564 and 226,716

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Solution

The third proportional to 147,564 and 226,716 is: 348,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,564 : 226,716 = 226,716 : x
  2. Step 2: Convert to fraction form
    147,564/226,716 = 226,716/x
  3. Step 3: Cross multiply
    147,564x = 226,716 × 226,716
  4. Step 4: Simplify right side
    147,564x = 51,400,144,656
  5. Step 5: Solve for x
    x = 51,400,144,656/147,564
  6. Step 6: Final answer
    x = 348,324.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.