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Finding the Third Proportional to 155,798 and 233,433

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Solution

The third proportional to 155,798 and 233,433 is: 349,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,798 : 233,433 = 233,433 : x
  2. Step 2: Convert to fraction form
    155,798/233,433 = 233,433/x
  3. Step 3: Cross multiply
    155,798x = 233,433 × 233,433
  4. Step 4: Simplify right side
    155,798x = 54,490,965,489
  5. Step 5: Solve for x
    x = 54,490,965,489/155,798
  6. Step 6: Final answer
    x = 349,753.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.