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Finding the Third Proportional to 113,618 and 238,656

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Solution

The third proportional to 113,618 and 238,656 is: 501,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,618 : 238,656 = 238,656 : x
  2. Step 2: Convert to fraction form
    113,618/238,656 = 238,656/x
  3. Step 3: Cross multiply
    113,618x = 238,656 × 238,656
  4. Step 4: Simplify right side
    113,618x = 56,956,686,336
  5. Step 5: Solve for x
    x = 56,956,686,336/113,618
  6. Step 6: Final answer
    x = 501,299.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.