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Finding the Third Proportional to 238,262 and 370,462

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Solution

The third proportional to 238,262 and 370,462 is: 576,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,262 : 370,462 = 370,462 : x
  2. Step 2: Convert to fraction form
    238,262/370,462 = 370,462/x
  3. Step 3: Cross multiply
    238,262x = 370,462 × 370,462
  4. Step 4: Simplify right side
    238,262x = 137,242,093,444
  5. Step 5: Solve for x
    x = 137,242,093,444/238,262
  6. Step 6: Final answer
    x = 576,013.35

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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.