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Finding the Third Proportional to 148,798 and 230,472

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Solution

The third proportional to 148,798 and 230,472 is: 356,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,798 : 230,472 = 230,472 : x
  2. Step 2: Convert to fraction form
    148,798/230,472 = 230,472/x
  3. Step 3: Cross multiply
    148,798x = 230,472 × 230,472
  4. Step 4: Simplify right side
    148,798x = 53,117,342,784
  5. Step 5: Solve for x
    x = 53,117,342,784/148,798
  6. Step 6: Final answer
    x = 356,976.19

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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.