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Finding the Third Proportional to 147,480 and 228,744

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Solution

The third proportional to 147,480 and 228,744 is: 354,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,480 : 228,744 = 228,744 : x
  2. Step 2: Convert to fraction form
    147,480/228,744 = 228,744/x
  3. Step 3: Cross multiply
    147,480x = 228,744 × 228,744
  4. Step 4: Simplify right side
    147,480x = 52,323,817,536
  5. Step 5: Solve for x
    x = 52,323,817,536/147,480
  6. Step 6: Final answer
    x = 354,785.85

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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.