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Finding the Third Proportional to 238,882.50 and 348,462

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Solution

The third proportional to 238,882.50 and 348,462 is: 508,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,882.50 : 348,462 = 348,462 : x
  2. Step 2: Convert to fraction form
    238,882.50/348,462 = 348,462/x
  3. Step 3: Cross multiply
    238,882.50x = 348,462 × 348,462
  4. Step 4: Simplify right side
    238,882.50x = 121,425,765,444
  5. Step 5: Solve for x
    x = 121,425,765,444/238,882.50
  6. Step 6: Final answer
    x = 508,307.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.