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Finding the Third Proportional to 238,056 and 322,946.50

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Solution

The third proportional to 238,056 and 322,946.50 is: 438,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,056 : 322,946.50 = 322,946.50 : x
  2. Step 2: Convert to fraction form
    238,056/322,946.50 = 322,946.50/x
  3. Step 3: Cross multiply
    238,056x = 322,946.50 × 322,946.50
  4. Step 4: Simplify right side
    238,056x = 104,294,441,862.25
  5. Step 5: Solve for x
    x = 104,294,441,862.25/238,056
  6. Step 6: Final answer
    x = 438,108.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.