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Finding the Third Proportional to 238,312 and 368,663

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Solution

The third proportional to 238,312 and 368,663 is: 570,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,312 : 368,663 = 368,663 : x
  2. Step 2: Convert to fraction form
    238,312/368,663 = 368,663/x
  3. Step 3: Cross multiply
    238,312x = 368,663 × 368,663
  4. Step 4: Simplify right side
    238,312x = 135,912,407,569
  5. Step 5: Solve for x
    x = 135,912,407,569/238,312
  6. Step 6: Final answer
    x = 570,312.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.