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Finding the Third Proportional to 111,338.50 and 233,618

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Solution

The third proportional to 111,338.50 and 233,618 is: 490,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,338.50 : 233,618 = 233,618 : x
  2. Step 2: Convert to fraction form
    111,338.50/233,618 = 233,618/x
  3. Step 3: Cross multiply
    111,338.50x = 233,618 × 233,618
  4. Step 4: Simplify right side
    111,338.50x = 54,577,369,924
  5. Step 5: Solve for x
    x = 54,577,369,924/111,338.50
  6. Step 6: Final answer
    x = 490,193.15

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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.