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Finding the Third Proportional to 238,254 and 369,060.75

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Solution

The third proportional to 238,254 and 369,060.75 is: 571,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,254 : 369,060.75 = 369,060.75 : x
  2. Step 2: Convert to fraction form
    238,254/369,060.75 = 369,060.75/x
  3. Step 3: Cross multiply
    238,254x = 369,060.75 × 369,060.75
  4. Step 4: Simplify right side
    238,254x = 136,205,837,190.56
  5. Step 5: Solve for x
    x = 136,205,837,190.56/238,254
  6. Step 6: Final answer
    x = 571,683.32

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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.