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Finding the Third Proportional to 112,117.50 and 238,770

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Solution

The third proportional to 112,117.50 and 238,770 is: 508,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,117.50 : 238,770 = 238,770 : x
  2. Step 2: Convert to fraction form
    112,117.50/238,770 = 238,770/x
  3. Step 3: Cross multiply
    112,117.50x = 238,770 × 238,770
  4. Step 4: Simplify right side
    112,117.50x = 57,011,112,900
  5. Step 5: Solve for x
    x = 57,011,112,900/112,117.50
  6. Step 6: Final answer
    x = 508,494.33

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.