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Finding the Third Proportional to 147,496 and 228,768

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Solution

The third proportional to 147,496 and 228,768 is: 354,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,496 : 228,768 = 228,768 : x
  2. Step 2: Convert to fraction form
    147,496/228,768 = 228,768/x
  3. Step 3: Cross multiply
    147,496x = 228,768 × 228,768
  4. Step 4: Simplify right side
    147,496x = 52,334,797,824
  5. Step 5: Solve for x
    x = 52,334,797,824/147,496
  6. Step 6: Final answer
    x = 354,821.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.